# What is the LCM of 6, 12 and 18?

LCM of 6, 12 and 18 is the least number which is exactly divisible by 6, 12 and 18.

## Answer: LCM of 6, 12 and 18 is 36

We can find LCM of the6, 12 and 18 in many ways.

## Explanation:

Least Common Multiple is the smallest number which is exactly divisible by 6, 12 and 18.

## Methods to Find LCM of 6, 12 and 18

We will use common division method and listing the common multiples to find the LCM(6, 8, 12)

### Method1: LCM of 6, 12 and 18 by Common Division Method

In this division method, we divide the 6, 12 and 18 simultaneously with prime numbers and stop it when we don't have a prime number to divide 6, 12 and 18.

LCM (6, 12, 18) is 36

### Method 2: LCM of 6, 12 and 18 by Listing Common Multiples

Let us list the first few multiples of 6,12 and 18 and identify the first common multiple.

Multiples of 6 = 6, 12, 18, 24, 30, **36**, 42, 48,..

Multiples of 12 = 12, 24, **36**, 48, 60,..

Mutiples of 18 = 18, **36**, 54, 72,..

36 is the first common multiple of 6 , 12 and 18.