# Lcm finder

## World's simplest number tool

Quickly find the least common multiple (LCM) of numbers in your browser. To get LCM, just enter your numbers in the input field, adjust their separator character in the options below, and this utility will calculate the least common multiple of your numbers. Created by developers from team Browserling.

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Lcm finder tool
What is a lcm finder?

This is an online browser-based utility for finding the least common multiple of numbers. The least common multiple (LCM) of two integers a and b is the smallest positive integer that is divisible by both a and b at the same time. The least common multiple of more than two numbers is the smallest positive integer that divides all of these numbers. LCM is also often called the lowest common multiple or smallest common multiple (SCM). One of the main applications of LCM is reducing fractions to a common denominator. The LCM can be found using several different methods. The first way is by utilizing prime factorization. If the numbers are decomposed into prime factors, then the LCM is the product of factors that are included in at least one of the numbers. The second method uses the relationship between the GCD and the LCM and is calculated as following LCM(a, b) = |axb|/GCD(a, b). In this tool, we use the second method to find the LCM. If you supply more than two numbers we use the extended LCM formula and apply it to all the numbers. You can also use the "Flowing LCM" option to see how the LCM changes as it's calculated for more and more numbers. That's numberwang!

Lcm finder examples
Click to use

LCM of 12 and 40

In this example, we calculate the LCM of two numbers. Let's try to find it using the prime factorization method. First, decompose the numbers into prime divisors. For 12 it is 2, 2, 3, for 40 it is 2, 2, 2, 5. Then, multiply factors, that are included in at least one of two numbers: 2 * 2 * 2 * 3 * 5 = 120. So, the number 120 is the LCM of 12 and 40. Using the second method we get the same result: LCM(12, 40) = |12x40|/GCD(12, 40) = 480/4 = 120.

12
40

120

**Required options**

Enter the character that
separates the numbers in
the input.
(By default a line break.)

Display LCMs as it's calculated.
(Most useful with 3 and
more numbers.)

LCM of Prime Numbers

In this example, we find the LCM of five prime numbers at once. Each prime number has only two divisors – 1 and the number itself. From this fact, it follows that the least common multiple of the given numbers is equal to their product. That is, LCM(2, 3, 5, 7, 11) = 2 * 3 * 5 * 7 * 11 = 2310.

2 3 5 7 11

2310

**Required options**

Enter the character that
separates the numbers in
the input.
(By default a line break.)

Display LCMs as it's calculated.
(Most useful with 3 and
more numbers.)

Running LCM

In this example, we activate the "Flowing LCM" option and get a list of running LCMs during the calculation. That is, we get a list of the following values: LCM(60, 40) = 120, LCM(120, 30) = 120, LCM(120, 1000) = 3000, LCM(3000, 1050) = 21000.

60
40
30
1000
1050

60
120
120
3000
21000

**Required options**

Enter the character that
separates the numbers in
the input.
(By default a line break.)

Display LCMs as it's calculated.
(Most useful with 3 and
more numbers.)

Pro tips
Master online number tools

You can pass input to this tool via

__?input__query argument and it will automatically compute output. Here's how to type it in your browser's address bar. Click to try!
https://onlinenumbertools.com/find-least-common-multiple

__?input__=12%0A40&separator=%5Cn&running-lcm=false
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