How to find the Least Common Multiple of 46 and 54?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 46 and 54.
Follow the steps below, and let's calculate the LCM of 46 and 54.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 46 and 54:
Prime factors of 46
The prime factors of 46 are 2 and 23. Prime factorization of 46 in exponential form is:
46 = 21x231
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:
21, 231, 33
Step 3: Multiply these values together:
21x231x33=1242
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 46 and 54.
The Least Common Multiple of 46 and 54 is 1242.
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 46:
46, 92, 138, 184, 230, 276, 322, 368, 414, 460, 506, 552, 598, 644, 690, 736, 782, 828, 874, 920, 966, 1012, 1058, 1104, 1150, 1196, 1242, 1288, 1334, 1380
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, 1404
Therefore,
LCM(46, 54) = 1242