 ## How to find the Least Common Multiple of 39 and 51?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 39 and 51.

Follow the steps below, and let's calculate the LCM of 39 and 51.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 39 and 51:

##### Prime factors of 39

The prime factors of 39 are 3 and 13. Prime factorization of 39 in exponential form is:

39 = 31x131

##### Prime factors of 51

The prime factors of 51 are 3 and 17. Prime factorization of 51 in exponential form is:

51 = 31x171

31, 131, 171

31x131x171=663

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 39 and 51.

The Least Common Multiple of 39 and 51 is 663.

### 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 39:

39, 78, 117, 156, 195, 234, 273, 312, 351, 390, 429, 468, 507, 546, 585, 624, 663, 702, 741, 780

#### Multiples of 51:

51, 102, 153, 204, 255, 306, 357, 408, 459, 510, 561, 612, 663, 714, 765, 816

#### Therefore,

LCM(39, 51) = 663