# What is the LCM of 16 and 22?

LCM of 16 and 22 is the smallest number exactly divisible by 16 and 22.

## Answer: LCM of 16 and 22 is 176

We will explain two methods to find the Least Common Multiple of 16 and 22.

## Explanation

Least Common Multiple of 16 and 22 will be the smallest number that can exactly divide 16 and 22 without leaving any remainder.

- LCM of 16 and 22 by Division Method
- LCM of 16 and 22 by Formula

### Method 1: LCM of 16 and 22 by Division Method

In this division method, we divide 16 and 22 simultaneously with prime numbers and until when we don't have a prime number to divide them further.

So, the least common multiple of 16 and 22 is given by 2 × 2 × 2 × 2 × 11 = 176. This means LCM (16, 22) = 176

### Method 2: LCM of 16 and 22 by Formula

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

The Greatest Common Factor of (16, 22) = 2

Therefore,

LCM of 16 and 22= (16 × 22) / 2

= 352/2

= 176

LCM of 16 and 22 = 176