 ## How to find the Least Common Multiple of 46 and 56?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 46 and 56.

Follow the steps below, and let's calculate the LCM of 46 and 56.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 46 and 56:

##### Prime factors of 46

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

46 = 21x231

##### Prime factors of 56

The prime factors of 56 are 2, 2, 2 and 7. Prime factorization of 56 in exponential form is:

56 = 23x71

23, 231, 71

23x231x71=1288

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 46 and 56.

The Least Common Multiple of 46 and 56 is 1288.

### 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 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, 1150, 1196, 1242, 1288, 1334, 1380, 1426

#### Multiples of 56:

56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, 952, 1008, 1064, 1120, 1176, 1232, 1288, 1344, 1400, 1456

#### Therefore,

LCM(46, 56) = 1288