# What is the LCM of 16 and 64?

LCM of 16 and 64 is the least number which is exactly divisible by both 16 and 64.

## Answer: LCM of 16 and 64 is 64.

We will explain two methods to find LCM of 16 and 64.

## Explanation:

Least Common Multiple of 16 and 64 is the smallest number which is exactly divisible by 16 and 64.

- LCM of 16 and 64 by Common Division Method
- LCM of 16 and 64 by Formula

### Method1:LCM of 16 and 64 by Common Division Method

In this division method, we divide the 16 and 64 simultaneously with prime numbers and stop it when we don't have a prime number to divide both 16 and 64.

So, the least common multiple of 16 and 64 is given by the product 2 × 2 × 2 × 2 × 2 × 2 = 64

### Method2: LCM of 16 and 64 by Formula

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

GCF (16, 64) = 16

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

= 1024/16

= 64

So, LCM of 16 and 64 = 64