# What is the least common multiple of 6 and 72?

Here is the answer to questions like: What is the least common multiple of 6 and 72? or What is the LCM of 6 and 72?

Use this calculator below to find the Least Common Multiple (LCM) for up to 3 mumbers.

## How to find the Least Common Multiple (LCM)

### Definition

The least common multiple (LCM) of a set of numbers is the lowest positive number that is a multiple of every number in that set.

Supose you want to find the Least Common Multiple (LCM) for 6 and 8, notation LCM(6,8):

The LCM of 6 and 8 is 24 because 24 is the smallest number that is both a multiple of 6 and a multiple of 8. This calculator uses the listing multiples method. This method consisits of writing out a list of the lowest multiples of each number, and look for the lowest multiple both numbers have in common. In this example we have:

- Multiples of 6: 6, 12, 18, 24. Note that 6 = 6 x 1, 12 = 6 x 2, 18 = 6 x 3, 24 = 6 x 4, 30 = 6 x 5
- Multiples of 8: 8, 16, 24. Also note that 8 = 8 x1, 16 = 8 x 2, 24 = 8 x 3, 32 = 8 x 4, ...

The LCM is also known as:

- lowest common multiple
- smallest common multiple