 ## How to find the Least Common Multiple of 5 and 17?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 5 and 17.

Follow the steps below, and let's calculate the LCM of 5 and 17.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 5 and 17:

##### Prime factors of 5

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

5 = 51

##### Prime factors of 17

The prime factors of 17 are 17. Prime factorization of 17 in exponential form is:

17 = 171

51, 171

51x171=85

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 5 and 17.

The Least Common Multiple of 5 and 17 is 85.

### 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

#### Multiples of 17:

17, 34, 51, 68, 85, 102, 119, 136

LCM(5, 17) = 85