 ## How to find the Least Common Multiple of 5 and 18?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 5 and 18.

Follow the steps below, and let's calculate the LCM of 5 and 18.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 5 and 18:

##### Prime factors of 5

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

5 = 51

##### Prime factors of 18

The prime factors of 18 are 2, 3 and 3. Prime factorization of 18 in exponential form is:

18 = 21x32

51, 21, 32

51x21x32=90

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 5 and 18.

The Least Common Multiple of 5 and 18 is 90.

### 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, 80, 85, 90, 95, 100, 105

#### Multiples of 18:

18, 36, 54, 72, 90, 108, 126, 144

LCM(5, 18) = 90