 ## How to find the Least Common Multiple of 9 and 21?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 9 and 21.

Follow the steps below, and let's calculate the LCM of 9 and 21.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 9 and 21:

##### 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 21

The prime factors of 21 are 3 and 7. Prime factorization of 21 in exponential form is:

21 = 31x71

32, 71

32x71=63

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 9 and 21.

The Least Common Multiple of 9 and 21 is 63.

### 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

#### Multiples of 21:

21, 42, 63, 84, 105, 126

LCM(9, 21) = 63