 ## How to find the Least Common Multiple of 40 and 52?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 40 and 52.

Follow the steps below, and let's calculate the LCM of 40 and 52.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 40 and 52:

##### Prime factors of 40

The prime factors of 40 are 2, 2, 2 and 5. Prime factorization of 40 in exponential form is:

40 = 23x51

##### Prime factors of 52

The prime factors of 52 are 2, 2 and 13. Prime factorization of 52 in exponential form is:

52 = 22x131

23, 51, 131

23x51x131=520

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 40 and 52.

The Least Common Multiple of 40 and 52 is 520.

### 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 40:

40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640

#### Multiples of 52:

52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676

#### Therefore,

LCM(40, 52) = 520