 ## How to find the Least Common Multiple of 17 and 30?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 17 and 30.

Follow the steps below, and let's calculate the LCM of 17 and 30.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 17 and 30:

##### Prime factors of 17

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

17 = 171

##### Prime factors of 30

The prime factors of 30 are 2, 3 and 5. Prime factorization of 30 in exponential form is:

30 = 21x31x51

171, 21, 31, 51

171x21x31x51=510

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 17 and 30.

The Least Common Multiple of 17 and 30 is 510.

### 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 17:

17, 34, 51, 68, 85, 102, 119, 136, 153, 170, 187, 204, 221, 238, 255, 272, 289, 306, 323, 340, 357, 374, 391, 408, 425, 442, 459, 476, 493, 510, 527, 544, 561

#### Multiples of 30:

30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600

#### Therefore,

LCM(17, 30) = 510