 ## How to find the Least Common Multiple of 42 and 46?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 42 and 46.

Follow the steps below, and let's calculate the LCM of 42 and 46.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 42 and 46:

##### 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 46

The prime factors of 46 are 2 and 23. Prime factorization of 46 in exponential form is:

46 = 21x231

21, 31, 71, 231

21x31x71x231=966

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 42 and 46.

The Least Common Multiple of 42 and 46 is 966.

### 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, 882, 924, 966, 1008, 1050, 1092

#### Multiples of 46:

46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644, 690, 736, 782, 828, 874, 920, 966, 1012, 1058, 1104

#### Therefore,

LCM(42, 46) = 966