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
| Prime | 12 | 45 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 3 | 3 | 32 | 32 |
| 5 | — | 5 | 5 |
— = 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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See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
- Least Common Multiple of 3 Numbers - Find the Least Common Multiple (LCM) of three numbers
- Greatest Common Factor of 3 Numbers - Find the Greatest Common Factor (GCF) of three numbers
- Multiples of a Number - List the first 10 multiples of any number from 1 to 999
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