LCM for 52 and 58

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What's the Least Common Multiple (LCM) of 52 and 58?

Answer

LCM of 52 and 58 is
1,508

(One thousand five hundred eight)

Finding LCM for 52 and 58 using GCF of these numbers

The first method to find LCM for numbers 52 and 58 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 52 and 58 is 2, so

LCM = (52 × 58) ÷ 2

LCM = 3,016 ÷ 2

LCM = 1,508

Finding LCM for 52 and 58 by Listing Multiples

The second method to find LCM for numbers 52 and 58 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 52: 52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572, 624, 676, 728, 780, 832, 884, 936, 988, 1,040, 1,092, 1,144, 1,196, 1,248, 1,300, 1,352, 1,404, 1,456, 1,508, 1,560, 1,612

Multiples of 58: 58, 116, 174, 232, 290, 348, 406, 464, 522, 580, 638, 696, 754, 812, 870, 928, 986, 1,044, 1,102, 1,160, 1,218, 1,276, 1,334, 1,392, 1,450, 1,508, 1,566, 1,624

So the LCM for 52 and 58 is 1,508

Finding LCM for 52 and 58 by Prime Factorization

Another method to find LCM for numbers 52 and 58 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 52: 2, 2, 13 (exponent form: 22, 131)

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

22 × 131 × 291 = 1,508

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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 52 and 58? (The answer is: 1,508). Select the first number (e.g. '52') 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
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LCM Table

Number 1Number 2LCM
52432,236
5244572
52452,340
52461,196
52472,444
5248624
52492,548
52501,300
52512,652
525252
52532,756
52541,404
52552,860
5256728
52572,964
52581,508
52593,068
5260780
52613,172
52621,612
52633,276
5264832
5265260
52661,716
52673,484
5268884
52693,588
52701,820
52713,692
5272936

FAQ

What's the Least Common Multiple (LCM) of 52 and 58?

LCM of 52 and 58 is 1,508

How to find the LCM of 52 and 58 using prime factorization?

To find the LCM of 52 and 58, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,508.

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 52 and 58: LCM = 1,508, GCF = 2.

See Also