Introduction to LCM Calculator
Lcm calculator with steps is a digital tool that helps you to find the lowest common multiple from the given number as input in a few seconds. Our tool determines two or more than two numbers to get the least common multiple that can be divided by the given numbers.
You do not need to do complex calculations or use different methods one by one to check which method is best that gives you the least common multiple quickly and effortlessly. That is why we introduce our least common multiple calculator to find the solution to LCM problems.
What is LCM in Math
Least common multiple(lcm) is the smallest factor from all the common multiple that gets from the given number. It is known as the lowest common factor or least common divisor because it is the least number that is the divisor of all the given integers.
There are several techniques like prime factorization, a listing of factors, or a division method that are used to find the least common factors.
The lcm formula has two integers (a,b) in which gcd(a,b) is the greatest common divisor and lcm(a,b) is the least common multiple. In lcm calculator - least common multiple is calculated using the following formula,
$$ lcm (a,b) \;=\; \frac{|a,b|}{gcd(a,b)} $$
How to Calculate LCM using Least Common Multiple Calculator
Lcm finder uses various types of methods to solve different numbers of integers to find the least common divisor. This is because our tool has advanced features in its software that give you solutions for calculating least common multiple quickly and easily. These methods are:
How to Find the Lowest Common Multiple Using Prime Factorization
Let's understand the prime factorization method for finding the least common multiple with the help of an example. Here we have two integer numbers 6 and 9 for lcm.
First, the lowest common multiple calculator finds the factors of a given number then it writes these factors in exponential power. Lastly, it takes the product of 6 and 9 factors as shown in the example.
Lowest Common Multiple 6 and 9
Using the prime factorization method,
$$ 6 \;=\; 2 \times 3 $$
$$ 9 \;=\; 3 \times 3 $$
$$ 6 \;=\; 2 \times 3 $$
$$ 9 \;=\; 3 $$
LCM(6,9),
$$ 3^2 \times 2 $$
$$ 9 \times 2 $$
$$ 18 $$
How to Find the Lowest Common Multiple using the Listing Factor
In the listing factor method, lcm calculator with steps calculates all the multiples of the given numbers 10 and 12. After that, it marks the common multiple from both the number factors list which is 60. Then it selects the least number from common multiple factors.
In the below example, 60 is the only number which is present in both the numbers 10 and 12. The solution of the least common multiple is 60 for integers 10 and 12.
Lowest Common Multiple of 10 and 12
Using the list of multiplies method,
$$ multiplies\; of \; 10 $$
$$ 10,\; 20,\; 30,\; 40,\; 50,\; 70,\; 80 $$
$$ Multiplies\; of\; 12: $$
$$ 12,\; 24,\; 36,\; 48,\; 60,\; 72,\; 84 $$
$$ LCM(10, 12) \;=\; 60 $$
How to Find the Lowest Common Multiple using the Division Method
To find the lcm for division method, calculator lcm find the lowest prime number that can divide both the given number(it write the prime number at the left side as shown in the below example).
If prime number is divide only one number then second number write as it below (without any calculation).Otherwise least common factor calculator continues this process till the reminder not become 1 for both the numbers. Here 9,12 are divided with the same prime number.
Lastly, lcm calculator write all the factors(prime number) and multiply them to find the least common multiple which is 36.
Lowest Common Multiple 9 and 12
Use division method to find the lcm
\begin{array}{c|rr} 2 & 9 & 12 \\ 2 & 9 & 6 \\ 3 & 9 & 3 \\ 3 & 3 & 1 \\ & 1 & 1 \\ \end{array}
Factors are
$$ LCM \;=\; 2 \times 2 \times 3 \times 3 $$
$$ LCM \;=\; 36 $$
how to Find LCM in the LCM Calculator
Least multiple calculator has a user-friendly design that enables you to calculate the least common multiple of particular numbers.
Before using our least common multiple calculator, you must follow some simple steps, and you do not face any inconvenience during the calculation.These steps are:
- Choose the method through which you want to evaluate numbers to get a solution of lcm.
- Enter the numbers value in the input box.
- Review your input number before hitting the calculate button to start the evaluation process in the calculator lcm.
- Click the “Calculate” button to get the result of your given integer problem.
- You should try out the smallest common multiple calculator, first, you can use the load example so that you must be assured that it provides an accurate solution.
- Click on the “Recalculate” button to get a refresh page for more solutions for lcm question solution
Final Result of LCM Finder
LCM Calculator with steps gives you the solution of a given integer problem when you add the input to the function into it. It provides you with solutions with a detailed procedure for finding lcm from the number value instantly. It may contain as:
- Result Option
Result option gives you a solution for the least common multiple problems
- Possible Steps
It provides you with a solution where all the evaluation processes are in a step-by-step method when you click on this option.
Benefits of Using Lowest Common Multiple Calculator
Least multiple calculator provides you with multiple benefits whenever you use it to calculate integers to find the value of least common divsor. These benefits are:
- Calculator lcm is a free-of-cost tool so you can use it anytime to find the lcm from a given number problem in real time without paying any thing.
- It is a handy tool that allows you to get the solution from various types of methods to find the lcm questions.
- You can try out our least common factor calculator to practice new examples and get a strong hold on the least common multiple concept
- Our least common multiple calculator saves you time and effort from doing lcm question complex calculations and provides the least common multiple.
- Lcm finder is a reliable tool that provides you with accurate solutions whenever you use it for the evaluation of integers for lcm without making any manmade mistakes.
- Lcm calculator provides the solution with a complete process in a stepwise method and you get clarity on the lowest common multiple method.
