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LCM for 48 and 58

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 48 and 58?

Answer

LCM of 48 and 58 is 1,392

(One thousand, three hundred ninety-two)

Finding LCM for 48 and 58 using GCF of these numbers

The first method to find LCM for numbers 48 and 58 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 48 and 58 is 2, so

LCM = (48 × 58) ÷ 2

LCM = 2784 ÷ 2

LCM = 1392

Finding LCM for 48 and 58 by Listing Multiples

The second method to find LCM for numbers 48 and 58 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 48: 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104, 1152, 1200, 1248, 1296, 1344, 1392, 1440, 1488

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

So the LCM for 48 and 58 is 1392

Finding LCM for 48 and 58 by Prime Factorization

Another method to find LCM for numbers 48 and 58 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 48: 2, 2, 2, 2, 3 (exponent form: 24, 31)

All Prime Factors of 58: 2, 29 (exponent form: 21, 291)

24 × 31 × 291 = 1392

Related Calculations

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What is the LCM of 48 and 58?. The LCM of 48 and 58 is 1392 — the smallest common multiple of both integers.
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LCM Table

Number 1Number 2LCM
48432064
4844528
4845720
48461104
48472256
484848
48492352
48501200
4851816
4852624
48532544
4854432
48552640
4856336
4857912
48581392
48592832
4860240
48612928
48621488
48631008
4864192
48653120
4866528
48673216
4868816
48691104
48701680
48713408
4872144

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 48 and 58? (The answer is: 1392). Select the first number (e.g. '48') and the second number (e.g. '58'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers

"Least Common Multiple" Calculator

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 48 and 58?

LCM of 48 and 58 is 1,392

How to find the LCM of 48 and 58 using prime factorization?

To find the LCM of 48 and 58, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,392.

What is the difference between LCM and GCF?

LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 48 and 58: LCM = 1,392, GCF = 2.

See Also