# What is the LCM of 9, 12 and 18?

Least Common Multiple of 9, 12 and 18 is the smallest number that will divide 9, 12 and 18 exactly.

## Answer: LCM of 9, 12 and 18 is 36.

For 9, 12 and 18 the smallest number which would be perfectly divisible by them is their LCM which is 36. Let us see how to calculate it below:

## Explanation:

### LCM of 9, 12 and 18 by Listing the Multiples Method

List the first few multiples of 9, 12 and 18 and find the common multiples.

- Multiples of 9 are 9, 18, 27,
**36**, 45, 54 - Multiples of 12 are 12, 24,
**36**, 48, 60 - Multiples of 18 are 18,
**36**, 54, 72

The smallest among the common multiples is the LCM of 9, 12 and 18 which in the above case we can see is 36.

## Methods to Find the LCM of 9, 12 and 18

Let us use the following methods to find the LCM of 9, 12 and 18

### LCM of 9, 12 and 18 by Common Division Method

Here we will divide the numbers 9, 12 and 18 simultaneously with prime numbers until we don't have a prime number to further divides 9, 12 and 18.

So, the least common multiple of 9, 12 and 18 is the product of the primes used in the division which is 36.