LCM for 56 and 64

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What's the Least Common Multiple (LCM) of 56 and 64?

Answer

LCM of 56 and 64 is
448

First common multiples: 448; 896; 1,344; …

448 is divisible by both: 448 ÷ 56 = 8, 448 ÷ 64 = 7 — and 8 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/56 by 8 and of y/64 by 7.

56 = 23 × 7

64 = 26

Prime5664Highest power
2232626
77—7

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

LCM = 26 × 7 = 448

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LCM Table

Number 1Number 2LCM
5649392
56501,400
56512,856
5652728
56532,968
56541,512
56553,080
565656
56573,192
56581,624
56593,304
5660840
56613,416
56621,736
5663504
5664448
56653,640
56661,848
56673,752
5668952
56693,864
5670280
56713,976
5672504
56734,088
56742,072
56754,200
56761,064
5677616
56782,184

FAQ

What's the Least Common Multiple (LCM) of 56 and 64?

LCM of 56 and 64 is 448

How to find the LCM of 56 and 64 using prime factorization?

To find the LCM of 56 and 64, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 448.

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 56 and 64: LCM = 448, GCF = 8.

See Also