 ## How to find the Least Common Multiple of 9 and 22?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 9 and 22.

Follow the steps below, and let's calculate the LCM of 9 and 22.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 9 and 22:

##### Prime factors of 9

The prime factors of 9 are 3 and 3. Prime factorization of 9 in exponential form is:

9 = 32

##### Prime factors of 22

The prime factors of 22 are 2 and 11. Prime factorization of 22 in exponential form is:

22 = 21x111

32, 21, 111

32x21x111=198

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 9 and 22.

The Least Common Multiple of 9 and 22 is 198.

### Method 2 - List of Multiples

Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.

#### Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225

#### Multiples of 22:

22, 44, 66, 88, 110, 132, 154, 176, 198, 220, 242, 264

LCM(9, 22) = 198