# What is the LCM of 16 and 32?

The Least Common Multiple of 16 and 32 would be a number which is the smallest and also perfectly or exactly divisible by them.

## Answer: LCM of (16 and 32) is 32

Lets see how to find the LCM of 16 and 32

## Explanation:

Least Common Multiple (LCM ): It is the smallest ot the least number which the given numbers divide perfectly, that is leaving 0 as remainder on division.

## Methods to Find the LCM of 16 and 32

Lets find the LCM of 16 and 32 by different methods.

### Common Division Method:

- Divide the numbers 16 and 32 simultaneously with prime numbers.
- Keep dividing until we don't have a prime number to divide the given numbers further ahead.

### Formula Method:

Formula to obtain LCM: LCM(a,b) = ( a × b) / GCF (a,b)

The Greatest Common Factor(GCF) of (16, 32) = 16

Therefore

LCM of 16 and 32 = (16 × 32) / 16 = 32

LCM of 16 and 32: 32