How to find the Least Common Multiple of 54 and 63?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 54 and 63.
Follow the steps below, and let's calculate the LCM of 54 and 63.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 54 and 63:
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 63
The prime factors of 63 are 3, 3 and 7. Prime factorization of 63 in exponential form is:
63 = 32x71
Step 2: Identify the highest power of each prime number from the above boxes:
21, 33, 71
Step 3: Multiply these values together:
21x33x71=378
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 54 and 63.
The Least Common Multiple of 54 and 63 is 378.
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
Multiples of 63:
63, 126, 189, 252, 315, 378, 441, 504, 567
Therefore,
LCM(54, 63) = 378