How to find the Least Common Multiple of 54 and 66?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 54 and 66.
Follow the steps below, and let's calculate the LCM of 54 and 66.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 54 and 66:
Prime factors of 54
The prime factors of 54 are 2, 3, 3 and 3. Prime factorization of 54 in exponential form is:
54 = 21x33
Prime factors of 66
The prime factors of 66 are 2, 3 and 11. Prime factorization of 66 in exponential form is:
66 = 21x31x111
Step 2: Identify the highest power of each prime number from the above boxes:
21, 33, 111
Step 3: Multiply these values together:
21x33x111=594
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 54 and 66.
The Least Common Multiple of 54 and 66 is 594.
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 54:
54, 108, 162, 216, 270, 324, 378, 432, 486, 540, 594, 648, 702, 756
Multiples of 66:
66, 132, 198, 264, 330, 396, 462, 528, 594, 660, 726, 792
Therefore,
LCM(54, 66) = 594