# What is the LCM of 54 and 12?

The LCM (Least Common Multiple) of 54 and 12 is the least number which is exactly divisible by the numbers 54 and 12.

## Answer: LCM of 54 and 12 is 108

The two methods are shown below to find the LCM of 54 and 12.

**Explanation:**

The following two methods are explained to find the LCM (54, 12)

- LCM of 54 and 12 by Common Division Method
- LCM of 54 and 12 by Formula

### Method1: LCM of 54 and 12 by Common Division Method

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

Observe that 108 is the least common multiple of 54 and 12. This means LCM of 54 and 12 is 108

So, by this method, LCM of 54 and 12 is 108

### Method2: LCM of 54 and 12 by Formula

The formula of LCM is

LCM (a,b) = (a × b) / GCF (a,b)

The Greatest Common Factor of 54 and 12 is 6

Therefore,

LCM (54, 12) = (54 × 12) / 6

= 648 / 6 = 108

So, LCM (54, 12) = 108

By using any of the above methods, the answer to LCM of 54 and 12 is the same.