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
Step 2: Identify the highest power of each prime number from the above boxes:
22, 51, 31, 111
Step 3: Multiply these values together:
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