# What is the LCM of 3 and 20?

Least Common Multiple of 3 and 20 is the smallest number that will divide 3 and 20 exactly.

## Answer: LCM of 3 and 20 is 60

The two methods that are used to find the LCM of 3 and 20 are given below.

## Explanation:

For 3 and 20, the smallest number which would be perfectly divisible by them is their LCM which is 60. Look at the two methods explained to find the LCM of 3 and 20.

- LCM of 3 and 20 by Common Division Method
- LCM of 3 and 20 by Formula

### Method1: LCM of 3 and 20 using Common Division Method

Here, we will divide the numbers 3 and 20 simultaneously with prime numbers until we don't have a prime number to further divide both 3 and 20.

So, LCM of 3 and 20 is given by the product 2 × 2 × 3 × 5 = 60

### Method2: LCM of 3 and 20 using Formula

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

The Greatest Common Factor of (3,20) = 1

Therefore, LCM of 3 and 20 = (3 × 20) / 1 = 60/1 = 60

So, LCM of 3 and 20 = 60