How to find the Least Common Multiple of 24 and 33?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 24 and 33.
Follow the steps below, and let's calculate the LCM of 24 and 33.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 24 and 33:
Prime factors of 24
The prime factors of 24 are 2, 2, 2 and 3. Prime factorization of 24 in exponential form is:
24 = 23x31
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:
23, 31, 111
Step 3: Multiply these values together:
23x31x111=264
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 24 and 33.
The Least Common Multiple of 24 and 33 is 264.
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 24:
24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336
Multiples of 33:
33, 66, 99, 132, 165, 198, 231, 264, 297, 330, 363
Therefore,
LCM(24, 33) = 264