 ## How to find the Least Common Multiple of 4 and 17?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 4 and 17.

Follow the steps below, and let's calculate the LCM of 4 and 17.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 4 and 17:

##### Prime factors of 4

The prime factors of 4 are 2 and 2. Prime factorization of 4 in exponential form is:

4 = 22

##### Prime factors of 17

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

17 = 171

22, 171

22x171=68

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 4 and 17.

The Least Common Multiple of 4 and 17 is 68.

### 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 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80

#### Multiples of 17:

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

LCM(4, 17) = 68