# What is the LCM of 36 and 60?

LCM of 36 and 60 is the smallest number which is precisely divisible by 36 and 60.

## Answer: LCM of 36 and 60 is 180

We will explain two methods to find the Least Common Multiple of 36 and 60

## Explanation

Least Common Multiple of 36 and 60 would be the smallest number which can exactly divide both 36 and 60.

- Division Method to find LCM of 36 and 60
- Formula to find LCM of 36 and 60

### Method 1: LCM of 36 and 60 by Division Method

In this method, we divide both 36 and 60 with prime numbers until we don't have any more prime numbers to divide 36 and 60 any further.

So, the least common multiple of 36 and 60 is given by 2 × 2 × 3 × 3 × 5 = 180. This means LCM(36, 60) = 180

### Method 2: LCM of 36 and 60 by Formula

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

The Greatest Common Factor of (36, 60) = 12

Therefore

LCM of 36 and 60 = (36 × 60) / 12

= 2160/12 = 180

LCM of 36 and 60 = 180