# What is the LCM of 6 and 30?

LCM of 6 and 30 is the smallest number which divides both 6 and 30 exactly without a remainder.

## Answer: LCM of 6 and 30 is 30.

For 6 and 30, the smallest number which would be perfectly divisible by them is their LCM which is 30. Let us see how to calculate it below:

## Explanation:

Least Common Multiple of 6 and 30 is the smallest number that will divide 6 and 30 exactly.

### LCM of 6 and 30 by Listing Method

List the first few multiples of 6 and 30 and find the common multiples.

- Multiples of 6 are 6, 12, 18, 24,
**30**, 36, 42,.. - Multiples of 30 are
**30**, 60, 90,...

The smallest among the common multiples is the LCM of 6 and 30, which in the above case we can see is 30. So, the LCM of 6 and 30 is 30

### LCM of 6 and 30 by Common Division Method

Here we will divide the numbers 6 and 30 simultaneously with prime numbers until we don't have a prime number to further divide both 6 and 30.THe productof theprime numbers used in long division will give the LCM of 6 and 30.

So, the LCM of 6 and 30 is 30.