 ## How to find the Least Common Multiple of 20 and 33?

On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 20 and 33.

Follow the steps below, and let's calculate the LCM of 20 and 33.

### Method 1 - Prime factorization

#### Step 1: Create a list of all the prime factors of the numbers 20 and 33:

##### Prime factors of 20

The prime factors of 20 are 2, 2 and 5. Prime factorization of 20 in exponential form is:

20 = 22x51

##### Prime factors of 33

The prime factors of 33 are 3 and 11. Prime factorization of 33 in exponential form is:

33 = 31x111

22, 51, 31, 111

22x51x31x111=660

#### Step 4: The result:

As seen on the calculation above, we have now obtained the LCM of 20 and 33.

The Least Common Multiple of 20 and 33 is 660.

### 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 20:

20, 40, 60, 80, 100, 120, 140, 160, 180, 200, 220, 240, 260, 280, 300, 320, 340, 360, 380, 400, 420, 440, 460, 480, 500, 520, 540, 560, 580, 600, 620, 640, 660, 680, 700, 720

#### Multiples of 33:

33, 66, 99, 132, 165, 198, 231, 264, 297, 330, 363, 396, 429, 462, 495, 528, 561, 594, 627, 660, 693, 726, 759

#### Therefore,

LCM(20, 33) = 660