LCM for 90 and 135
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What's the Least Common Multiple (LCM) of 90 and 135?
Answer
LCM of 90 and 135 is
270
First common multiples: 270, 540, 810, …
270 is divisible by both: 270 ÷ 90 = 3, 270 ÷ 135 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/90 by 3 and of y/135 by 2.
90 = 2 × 32 × 5
135 = 33 × 5
| Prime | 90 | 135 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | 32 | 33 | 33 |
| 5 | 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 = 2 × 33 × 5 = 270
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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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