LCM for 12 and 57

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What's the Least Common Multiple (LCM) of 12 and 57?

Answer

LCM of 12 and 57 is
228

First common multiples: 228, 456, 684, …

228 is divisible by both: 228 ÷ 12 = 19, 228 ÷ 57 = 4 — and 19 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/12 by 19 and of y/57 by 4.

12 = 22 × 3

57 = 3 × 19

Prime1257Highest power
222—22
3333
19—1919

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

LCM = 22 × 3 × 19 = 228

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LCM Table

Number 1Number 2LCM
123296
1233132
1235420
123636
1239156
1240120
124284
1244132
1245180
1246276
124848
1250300
1252156
1254108
1255660
1257228
1258348
126060
1266132
1268204
127272
1275300
1276228
1278156
1280240
128484
1288264
12100300
12108108
12180180

FAQ

What's the Least Common Multiple (LCM) of 12 and 57?

LCM of 12 and 57 is 228

How to find the LCM of 12 and 57 using prime factorization?

To find the LCM of 12 and 57, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 228.

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 57: LCM = 228, GCF = 3.

See Also