How to find the Least Common Multiple of 46 and 52?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 46 and 52.
Follow the steps below, and let's calculate the LCM of 46 and 52.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 46 and 52:
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 52
The prime factors of 52 are 2, 2 and 13. Prime factorization of 52 in exponential form is:
52 = 22x131
Step 2: Identify the highest power of each prime number from the above boxes:
22, 231, 131
Step 3: Multiply these values together:
22x231x131=1196
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 46 and 52.
The Least Common Multiple of 46 and 52 is 1196.
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
Multiples of 52:
52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676, 728, 780, 832, 884, 936, 988, 1040, 1092, 1144, 1196, 1248, 1300, 1352
Therefore,
LCM(46, 52) = 1196