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

First common multiples: 832; 1,664; 2,496; …

832 is divisible by both: 832 ÷ 52 = 16, 832 ÷ 64 = 13 — and 16 and 13 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/52 by 16 and of y/64 by 13.

52 = 22 × 13

64 = 26

Prime5264Highest power
2222626
1313—13

— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

LCM = 26 × 13 = 832

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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