# What is the LCM of 8 and 22?

To find the LCM of 8 and 22, we need the least number which is exactly divisible by both 8 and 22 without leaving any remainder.

## Answer: LCM of 8 and 22 is 88

The Least Common Multiple (LCM) of two numbers a and b is the smallest number which is divisible by both a and b exactly.

## Explanation:

We will use two methods to find the least common multiple of 8 and 22.

- LCM of 8 and 22 by Formula
- LCM of 8 and 22 by Listing Method

### Method 1: LCM of 8 and 22 by Formula

The formula of LCM is

LCM (a,b) = (a × b) / GCF (a,b)

The Greatest Common Factor (GCF) of (8, 22) is 2. So, GCF (8, 22) = 2

So, the LCM of 8 and 22 by using the formula,

LCM (8, 22) = (8 × 22) / 2

= 4 × 22

= 88

LCM of 8 and 22 = 88

### Method 2: LCM of 8 and 22 by Listing Method

We will list the first few multiples of 8 and 22 and determine the common multiples.

The least among the common multiples is the LCM of 8 and 22.

Multiples of 8: 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, __ 88__, 94

Multiples of 22: 22, 44, 66, __ 88__, 110

Here, 88 is the least common multiple of 8 and 22.

So, the LCM (8, 22) is 88.

Observe that the solution to our question LCM of 8 and 22 is the same in both methods.