 ## How to find the Least Common Multiple of 42 and 51?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 42 and 51.

Follow the steps below, and let's calculate the LCM of 42 and 51.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 42 and 51:

##### Prime factors of 42

The prime factors of 42 are 2, 3 and 7. Prime factorization of 42 in exponential form is:

42 = 21x31x71

##### Prime factors of 51

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

51 = 31x171

21, 31, 71, 171

21x31x71x171=714

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 42 and 51.

The Least Common Multiple of 42 and 51 is 714.

### 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 42:

42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630, 672, 714, 756, 798, 840

#### Multiples of 51:

51, 102, 153, 204, 255, 306, 357, 408, 459, 510, 561, 612, 663, 714, 765, 816, 867

#### Therefore,

LCM(42, 51) = 714