LCM for 52 and 64

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What's the Least Common Multiple (LCM) of 52 and 64?

Answer

LCM of 52 and 64 is
832

(Eight hundred thirty-two)

Finding LCM for 52 and 64 using GCF of these numbers

The first method to find LCM for numbers 52 and 64 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 52 and 64 is 4, so

LCM = (52 × 64) ÷ 4

LCM = 3,328 ÷ 4

LCM = 832

Finding LCM for 52 and 64 by Listing Multiples

The second method to find LCM for numbers 52 and 64 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

Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576, 640, 704, 768, 832, 896, 960

So the LCM for 52 and 64 is 832

Finding LCM for 52 and 64 by Prime Factorization

Another method to find LCM for numbers 52 and 64 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 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)

26 × 131 = 832

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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 64? (The answer is: 832). Select the first number (e.g. '52') and the second number (e.g. '64'). 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
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
52733,796
52741,924
52753,900
5276988
52774,004
5278156

FAQ

What's the Least Common Multiple (LCM) of 52 and 64?

LCM of 52 and 64 is 832

How to find the LCM of 52 and 64 using prime factorization?

To find the LCM of 52 and 64, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 832.

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 64: LCM = 832, GCF = 4.

See Also