LCM for 8 and 16

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What's the Least Common Multiple (LCM) of 8 and 16?

Answer

LCM of 8 and 16 is
16

First common multiples: 16, 32, 48, …

As a common denominator: multiply the top and bottom of x/8 by 2.

8 divides 16 (16 ÷ 8 = 2), so the LCM is the larger number itself.

8 = 23

16 = 24

Prime816Highest power
2232424

LCM = 24 = 16

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LCM Table

Number 1Number 2LCM
828
8324
848
8540
8624
8972
81040
81188
81224
813104
81456
815120
81616
817136
81872
82040
821168
82288
82424
825200
826104
827216
82856
830120
83232
833264
835280
83672
84040
841328

FAQ

What's the Least Common Multiple (LCM) of 8 and 16?

LCM of 8 and 16 is 16

How to find the LCM of 8 and 16 using prime factorization?

To find the LCM of 8 and 16, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 16.

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 16: LCM = 16, GCF = 8.

See Also