# What is the LCM of 8 and 32?

LCM of 8 and 32 is the least number which is exactly divisible by both 8 and 32.

## Answer: LCM of 8 and 32 is 32

We can find LCM of 8 and 32 in many ways. 2 methods are explained here.

## Explanation:

Least Common Multiple is the smallest number which is exactly divisible by 8 and 32.

### Method 1: LCM of 8 and 32 by Common Division Method

In this division method, we divide the 8 and 32 simultaneously with prime numbers and stop it when we don't have a prime number to divide both 8 and 32

LCM(8, 32) = 2 × 2 × 2 × 2 × 2 = 32

### Method 2: LCM of 8 and 32 by Listing the common Multiples Method

Here , we list the first few multiples of 8 and 32 and identify the first number common to both the multiples list.

Multiples of 8 = 8, 16, 24, **32**, 40, 48,...

Multiples of 32 = **32**, 64, 96,..

Note that 32 itself is a multiple of 8.