# What is the least common multiple of 45 and 82?

Here is the answer to questions like: What is the least common multiple of 45 and 82? or What is the LCM of 45 and 82?

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