# What is the LCM of 20 and 32

To find the LCM of 20 and 32, we need the least number which is exactly divisible by both 20 and 32.

## Answer: LCM of 20 and 32 is 160

The two methods that are used to find the LCM of 20 and 32 are given below.

## Explanation:

The two methods that we are using to find LCM (20, 32) are.

- LCM of 20 and 32 by Listing the Common Factors
- LCM of 20 and 32 by Formula

### Method1: LCM of 20 and 32 by Listing Method

We will list the first few multiples of 20 and 32 and determine the common multiples.

The least among the common multiples is the LCM of 20 and 32

160 is the least common multiple of 20 and 32

### method2: LCM of 20 and 32 by Formula

The formula of LCM is

LCM (a,b) = (a × b) / GCF (a,b)

The Greatest Common Factor (GCF) of (20,32) is 3. So, GCF (20,32) = 4

So, the LCM of 20 and 32 by using the formula,

LCM (20, 32) = (20 × 32) / 4

= 5 × 32

= 160

LCM of 20 and 32 = 160

Observe that the solution to our question LCM of 20 and 32 is the same in both the methods.