LCM for 64 and 72

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What's the Least Common Multiple (LCM) of 64 and 72?

Answer

LCM of 64 and 72 is
576

First common multiples: 576; 1,152; 1,728; …

576 is divisible by both: 576 ÷ 64 = 9, 576 ÷ 72 = 8 — and 9 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/64 by 9 and of y/72 by 8.

64 = 26

72 = 23 × 32

Prime6472Highest power
2262326
3—3232

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

LCM = 26 × 32 = 576

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LCM Table

Number 1Number 2LCM
64573,648
64581,856
64593,776
6460960
64613,904
64621,984
64634,032
646464
64654,160
64662,112
64674,288
64681,088
64694,416
64702,240
64714,544
6472576
64734,672
64742,368
64754,800
64761,216
64774,928
64782,496
64795,056
6480320
64815,184
64822,624
64835,312
64841,344
64855,440
64862,752

FAQ

What's the Least Common Multiple (LCM) of 64 and 72?

LCM of 64 and 72 is 576

How to find the LCM of 64 and 72 using prime factorization?

To find the LCM of 64 and 72, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 576.

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 72: LCM = 576, GCF = 8.

See Also