 ## How to find the Least Common Multiple of 9 and 12?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 9 and 12.

Follow the steps below, and let's calculate the LCM of 9 and 12.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 9 and 12:

##### 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 12

The prime factors of 12 are 2, 2 and 3. Prime factorization of 12 in exponential form is:

12 = 22x31

32, 22

32x22=36

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 9 and 12.

The Least Common Multiple of 9 and 12 is 36.

### 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

#### Multiples of 12:

12, 24, 36, 48, 60, 72

LCM(9, 12) = 36