LCM for 8 and 18

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What's the Least Common Multiple (LCM) of 8 and 18?

Answer

LCM of 8 and 18 is
72

First common multiples: 72, 144, 216, …

72 is divisible by both: 72 ÷ 8 = 9, 72 ÷ 18 = 4 — and 9 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/8 by 9 and of y/18 by 4.

8 = 23

18 = 2 × 32

Prime818Highest power
223223
3—3232

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

LCM = 23 × 32 = 72

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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 18?

LCM of 8 and 18 is 72

How to find the LCM of 8 and 18 using prime factorization?

To find the LCM of 8 and 18, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 72.

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 18: LCM = 72, GCF = 2.

See Also