LCM for 45 and 81
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What's the Least Common Multiple (LCM) of 45 and 81?
Answer
LCM of 45 and 81 is
405
First common multiples: 405; 810; 1,215; …
405 is divisible by both: 405 ÷ 45 = 9, 405 ÷ 81 = 5 — and 9 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/45 by 9 and of y/81 by 5.
45 = 32 × 5
81 = 34
| Prime | 45 | 81 | Highest power |
|---|---|---|---|
| 3 | 32 | 34 | 34 |
| 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 = 34 × 5 = 405
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- 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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