# What is the LCM of 48 and 64?

LCM of 48 and 64 is the least number which is exactly divisible by both 48 and 64.

## Answer: LCM of 48 and 64 is 192.

We can find the LCM in many ways .2 methods are explained below.

## Explanation:

Least Common Multiple is the smallest number which is exactly divisible by 48 and 64.

### Method 1: LCM of 48 and 64 by Common Division Method

In this division method, we divide the 48 and 64 simultaneously with prime numbers and stop it when we don't have a prime number to divide both 48 and 64

LCM(48, 64) = 2 × 2 × 2 × 2 × 2 × 2 × 3 = 192

### Method 2: LCM of 48 and 64 by Formula

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

The Greatest Common Factor of (48, 64) = 16

Therefore, LCM of 48 and 64 = (48 × 64) / 16

3072/16

= 192