LCM for 32 and 81
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What's the Least Common Multiple (LCM) of 32 and 81?
Answer
LCM of 32 and 81 is
2,592
First common multiples: 2,592; 5,184; 7,776; …
2,592 is divisible by both: 2,592 ÷ 32 = 81; 2,592 ÷ 81 = 32 — and 81 and 32 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/32 by 81 and of y/81 by 32.
32 and 81 are coprime (GCF = 1), so their LCM is simply the product: 32 × 81 = 2,592.
32 = 25
81 = 34
| Prime | 32 | 81 | Highest power |
|---|---|---|---|
| 2 | 25 | — | 25 |
| 3 | — | 34 | 34 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 25 × 34 = 2,592
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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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