# What is the LCM of 12 and 27?

LCM of 12 and 27 is the smallest number which is exactly divisible by both 12 and 27

## Answer: LCM of 12 and 27 is 108

## Explanation:

Least Common Multiple of two numbers is the smallest number that the two numbers divide exactly.

We can find the LCM of the numbers in many ways. Two methods to find the LCM of 12 and 27 are listed below.

### Common Division Method to Find LCM of 12 and 27

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.

### LCM of 12 and 27 by Formula

The formula of LCM is LCM (a,b) = (a × b) / GCF (a,b)

The Greatest Common Factor of (12, 27) = 3

Therefore

LCM (12, 27) = (12 × 27) / GCF (12, 27)

= (12 × 27) / 3

= 324 / 3

= 108

LCM of 12 and 27 = 108

So, LCM of 12 and 27 is 108

Using any of the methods, the solution to our question LCM of 12 and 27 is the same.