How to find the Least Common Multiple of 54 and 60?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 54 and 60.
Follow the steps below, and let's calculate the LCM of 54 and 60.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 54 and 60:
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 60
The prime factors of 60 are 2, 2, 3 and 5. Prime factorization of 60 in exponential form is:
60 = 22x31x51
Step 2: Identify the highest power of each prime number from the above boxes:
22, 33, 51
Step 3: Multiply these values together:
22x33x51=540
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 54 and 60.
The Least Common Multiple of 54 and 60 is 540.
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
Multiples of 60:
60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720
Therefore,
LCM(54, 60) = 540