LCM for 8 and 64

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What's the Least Common Multiple (LCM) of 8 and 64?

Answer

LCM of 8 and 64 is
64

First common multiples: 64, 128, 192, …

As a common denominator: multiply the top and bottom of x/8 by 8.

8 divides 64 (64 ÷ 8 = 8), so the LCM is the larger number itself.

8 = 23

64 = 26

Prime864Highest power
2232626

LCM = 26 = 64

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LCM Table

Number 1Number 2LCM
827216
82856
830120
83232
833264
835280
83672
84040
841328
843344
84488
845360
846184
84848
849392
851408
852104
855440
857456
858232
860120
863504
86464
87272
88080
890360
89696
8100200
8120120
81,0001,000

FAQ

What's the Least Common Multiple (LCM) of 8 and 64?

LCM of 8 and 64 is 64

How to find the LCM of 8 and 64 using prime factorization?

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

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

See Also