Least Common Multiple (LCM) Calculator
Calculator that helps you find the Least Common Multiple of the given numbers.
What is the least common multiple?
The least common multiple (LCM), also known as the lowest common multiple, refers to the smallest positive integer that is divisible by two or more given numbers.
It is often used in mathematical calculations to find a common multiple that can be evenly divided by all the numbers involved.
How to find the least common multiple?
To find the least common multiple (LCM), you can use a step-by-step approach. Start by listing the multiples of each given number and identify the smallest common multiple that appears in all the lists. This common multiple will be the LCM, representing the smallest positive integer divisible by the given numbers.
Find the least common multiple of 4 and 6:
For 4, the multiples are:
And for 6, the multiples are:
As you can see that the smallest number that appears in both lists is 12. Therefore, the LCM of 4 and 6 is 12.
Find the least common multiple of 6, 8, and 12:
For 6, the multiples are:
For 8, the multiples are:
And for 12, the multiples are:
By comparing the lists, you can see that the smallest number appearing in all three lists is 24. Hence, the LCM of 6, 8, and 12 is 24.
Listing multiples can be time-consuming, especially when dealing with many numbers. To save time and effort, you can use the calculator on this page to quickly determine the LCM for any set of numbers you have.
Examples
| Numbers | LCM |
|---|---|
| 2, 5 | 10 |
| 10, 20, 35 | 140 |
| 5, 7, 9, 14 | 630 |
| 12, 15, 19 | 1140 |
| 8, 18, 50, 30 | 1800 |