 ## How to find the Least Common Multiple of 9 and 14?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 9 and 14.

Follow the steps below, and let's calculate the LCM of 9 and 14.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 9 and 14:

##### 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 14

The prime factors of 14 are 2 and 7. Prime factorization of 14 in exponential form is:

14 = 21x71

32, 21, 71

32x21x71=126

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 9 and 14.

The Least Common Multiple of 9 and 14 is 126.

### 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

#### Multiples of 14:

14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168

LCM(9, 14) = 126