LCM for 12 and 18

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What's the Least Common Multiple (LCM) of 12 and 18?

Answer

LCM of 12 and 18 is
36

First common multiples: 36, 72, 108, …

36 is divisible by both: 36 ÷ 12 = 3, 36 ÷ 18 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/12 by 3 and of y/18 by 2.

12 = 22 × 3

18 = 2 × 32

Prime1218Highest power
222222
333232

LCM = 22 × 32 = 36

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LCM Table

Number 1Number 2LCM
12412
12612
12784
12824
12936
121060
1213156
121484
121560
121648
1217204
121836
1219228
122060
122184
1222132
1223276
122424
1225300
1226156
1227108
122884
1229348
123060
1231372
123296
1233132
1235420
123636
1239156

FAQ

What's the Least Common Multiple (LCM) of 12 and 18?

LCM of 12 and 18 is 36

How to find the LCM of 12 and 18 using prime factorization?

To find the LCM of 12 and 18, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 36.

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 12 and 18: LCM = 36, GCF = 6.

See Also