How to find the Least Common Multiple of 46 and 58?
On this page below, we'll use the Prime Factorisation, and the List of Multiples method to find out the LCM of 46 and 58.
Follow the steps below, and let's calculate the LCM of 46 and 58.
Method 1 - Prime factorization
Step 1: Create a list of all the prime factors of the numbers 46 and 58:
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 58
The prime factors of 58 are 2 and 29. Prime factorization of 58 in exponential form is:
58 = 21x291
Step 2: Identify the highest power of each prime number from the above boxes:
21, 231, 291
Step 3: Multiply these values together:
21x231x291=1334
Step 4: The result:
As seen on the calculation above, we have now obtained the LCM of 46 and 58.
The Least Common Multiple of 46 and 58 is 1334.
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, 1426, 1472
Multiples of 58:
58, 116, 174, 232, 290, 348, 406, 464, 522, 580, 638, 696, 754, 812, 870, 928, 986, 1044, 1102, 1160, 1218, 1276, 1334, 1392, 1450, 1508
Therefore,
LCM(46, 58) = 1334