LCM for 36 and 51
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What's the Least Common Multiple (LCM) of 36 and 51?
Answer
LCM of 36 and 51 is
612
First common multiples: 612; 1,224; 1,836; …
612 is divisible by both: 612 ÷ 36 = 17, 612 ÷ 51 = 12 — and 17 and 12 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/36 by 17 and of y/51 by 12.
36 = 22 × 32
51 = 3 × 17
| Prime | 36 | 51 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 3 | 32 | 3 | 32 |
| 17 | — | 17 | 17 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 32 × 17 = 612
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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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