# What is the LCM of 20 and 60?

LCM of 20 and 60 is the smallest number exactly divisible by all of them.

## Answer: LCM of 20 and 60 is 60

Let us see how to find the LCM of 20 and 60

## Explanation:

We can find the LCM by the following two methods:

- by Division Method
- using Common Multiples

Least Common Multiple of 20 and 60 will be the smallest number that can exactly divide both of the numbers without leaving any remainder.

Listed below are two methods to find the LCM of 20 and 60

## Methods to Find LCM of 20 and 60

### Method 1: LCM of 20 and 60 by Division Method:

In this division method, we divide 20 and 60 simultaneously with prime numbers and until when we don't have a prime number to divide them further.

So, the least common multiple of 20 and 60 is given by 2 × 2 × 3 × 5 = 60. This means LCM(20, 60) = 60

### Method 2: LCM of 20 and 60 using Common Multiples:

Multiples of 20 = 20, 40, 60, 80, 100

Multiples of 60 = 60, 120, 180

We can see clearly that 60 is the least common factor of 20 and 60

So, LCM of 20 and 60 = 60