LCM for 27 and 64

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What's the Least Common Multiple (LCM) of 27 and 64?

Answer

LCM of 27 and 64 is
1,728

First common multiples: 1,728; 3,456; 5,184; …

1,728 is divisible by both: 1,728 ÷ 27 = 64; 1,728 ÷ 64 = 27 — and 64 and 27 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/27 by 64 and of y/64 by 27.

27 and 64 are coprime (GCF = 1), so their LCM is simply the product: 27 × 64 = 1,728.

27 = 33

64 = 26

Prime2764Highest power
2—2626
333—33

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

LCM = 26 × 33 = 1,728

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LCM Table

Number 1Number 2LCM
271854
2728756
2730270
2732864
2733297
2735945
2736108
2739351
27401,080
2742378
27431,161
27441,188
2745135
27491,323
27501,350
27531,431
275454
2763189
27641,728
2775675
278181
2790270
271002,700
27108108
271253,375

FAQ

What's the Least Common Multiple (LCM) of 27 and 64?

LCM of 27 and 64 is 1,728

How to find the LCM of 27 and 64 using prime factorization?

To find the LCM of 27 and 64, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,728.

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 27 and 64: LCM = 1,728, GCF = 1.

See Also