LCM for 12 and 45

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What's the Least Common Multiple (LCM) of 12 and 45?

Answer

LCM of 12 and 45 is
180

First common multiples: 180, 360, 540, …

180 is divisible by both: 180 ÷ 12 = 15, 180 ÷ 45 = 4 — and 15 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 15 and of y/45 by 4.

12 = 22 × 3

45 = 32 × 5

Prime1245Highest power
222—22
333232
5—55

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

LCM = 22 × 32 × 5 = 180

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LCM Table

Number 1Number 2LCM
1225300
1226156
1227108
122884
1229348
123060
1231372
123296
1233132
1235420
123636
1239156
1240120
124284
1244132
1245180
1246276
124848
1250300
1252156
1254108
1255660
1257228
1258348
126060
1266132
1268204
127272
1275300
1276228

FAQ

What's the Least Common Multiple (LCM) of 12 and 45?

LCM of 12 and 45 is 180

How to find the LCM of 12 and 45 using prime factorization?

To find the LCM of 12 and 45, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 180.

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 45: LCM = 180, GCF = 3.

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