 ## How to find the Least Common Multiple of 5 and 12?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 5 and 12.

Follow the steps below, and let's calculate the LCM of 5 and 12.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 5 and 12:

##### Prime factors of 5

The prime factors of 5 are 5. Prime factorization of 5 in exponential form is:

5 = 51

##### Prime factors of 12

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

12 = 22x31

51, 22, 31

51x22x31=60

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 5 and 12.

The Least Common Multiple of 5 and 12 is 60.

### 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 5:

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75

#### Multiples of 12:

12, 24, 36, 48, 60, 72, 84, 96

LCM(5, 12) = 60