# LCM of 30 and 22?

LCM of 30 and 22 is the smallest number that exactly divides both 30 and 22.

## Answer: LCM of 30 and 22 is 330

We will explain two methods to find the Least Common Multiple of 30 and 22

## Explanation

Least Common Multiple of 30 and 22 would be the smallest number which can exactly divide by both of the numbers without any remainder.

- LCM of 30 and 22 by Division Method
- LCM of 30 and 22 by Formula

### Method 1: LCM of 30 and 22 by Division Method

In this division method, we divide 30 and 48 simultaneously with prime numbers and stop it only when we don't have any more prime numbers to divide 30 and 22 any further.

So, the least common multiple of 30 and 22 is given by 2 × 3 × 5 × 11 = 330. This means LCM(30, 22) = 330

### Method 2: LCM of 30 and 22 by Formula

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

The Greatest Common Factor of (30, 22) = 2

Therefore

LCM of 30 and 22 = (30 × 22) / 2

= 660/2

= 330

LCM of 30 and 22 = 330