# What is the LCM of 16 and 30?

LCM of 16 and 30 is the least number which is exactly divisible by both 16 and 30.

## Answer: LCM of 16 and 30 is 240

Least Common Multiple is the smallest number which is exactly divisible by 16 and 30.

## Explanation:

We will see 2 different methods to find the LCM of 16 and 30.

- Common Division
- Formula

### Method 1: LCM of 16 and 30 by Common Division Method

In this division method, we divide the 16 and 30 simultaneously with prime numbers and stop it when we don't have a prime number to divide both 16 and 30

LCM(16, 30) = 2 × 2 × 2 × 2 × 3 × 5 = 240

### LCM of 16 and 30 by Formula

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

The Greatest Common Factor of (16, 30) = 2

Therefore, LCM of 16 and 30 = (16× 30) / 2

= 480/2

= 240

### Thus, LCM of 16 and 30 is 240.

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