LCM for 64 and 125

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What's the Least Common Multiple (LCM) of 64 and 125?

Answer

LCM of 64 and 125 is
8,000

First common multiples: 8,000; 16,000; 24,000; …

8,000 is divisible by both: 8,000 ÷ 64 = 125; 8,000 ÷ 125 = 64 — and 125 and 64 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/64 by 125 and of y/125 by 64.

64 and 125 are coprime (GCF = 1), so their LCM is simply the product: 64 × 125 = 8,000.

64 = 26

125 = 53

Prime64125Highest power
226—26
5—5353

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

LCM = 26 × 53 = 8,000

More with these numbers

See Also

LCM Table

Number 1Number 2LCM
641103,520
641117,104
64112448
641137,232
641143,648
641157,360
641161,856
641177,488
641183,776
641197,616
64120960
641217,744
641223,904
641237,872
641241,984
641258,000
641264,032
641278,128
64128128
641298,256
641304,160
641318,384
641322,112
641338,512
641344,288
641358,640
641361,088
641378,768
641384,416
641398,896

FAQ

What's the Least Common Multiple (LCM) of 64 and 125?

LCM of 64 and 125 is 8,000

How to find the LCM of 64 and 125 using prime factorization?

To find the LCM of 64 and 125, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 8,000.

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 64 and 125: LCM = 8,000, GCF = 1.

See Also