How to find the Least Common Multiple of 44 and 54?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 44 and 54.
Follow the steps below, and let's calculate the LCM of 44 and 54.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 44 and 54:
Prime factors of 44
The prime factors of 44 are 2, 2 and 11. Prime factorization of 44 in exponential form is:
44 = 22x111
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
Step 2: Identify the highest power of each prime number from the above boxes:
22, 111, 33
Step 3: Multiply these values together:
22x111x33=1188
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 44 and 54.
The Least Common Multiple of 44 and 54 is 1188.
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 44:
44, 88, 132, 176, 220, 264, 308, 352, 396, 440, 484, 528, 572, 616, 660, 704, 748, 792, 836, 880, 924, 968, 1012, 1056, 1100, 1144, 1188, 1232, 1276, 1320
Multiples of 54:
54, 108, 162, 216, 270, 324, 378, 432, 486, 540, 594, 648, 702, 756, 810, 864, 918, 972, 1026, 1080, 1134, 1188, 1242, 1296, 1350
Therefore,
LCM(44, 54) = 1188