 ## How to find the Least Common Multiple of 10 and 17?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 10 and 17.

Follow the steps below, and let's calculate the LCM of 10 and 17.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 10 and 17:

##### Prime factors of 10

The prime factors of 10 are 2 and 5. Prime factorization of 10 in exponential form is:

10 = 21x51

##### Prime factors of 17

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

17 = 171

21, 51, 171

21x51x171=170

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 10 and 17.

The Least Common Multiple of 10 and 17 is 170.

### 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 10:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200

#### Multiples of 17:

17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221

#### Therefore,

LCM(10, 17) = 170