LCM for 84 and 90
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What's the Least Common Multiple (LCM) of 84 and 90?
Answer
LCM of 84 and 90 is
1,260
First common multiples: 1,260; 2,520; 3,780; …
1,260 is divisible by both: 1,260 ÷ 84 = 15; 1,260 ÷ 90 = 14 — and 15 and 14 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/84 by 15 and of y/90 by 14.
84 = 22 × 3 × 7
90 = 2 × 32 × 5
| Prime | 84 | 90 | Highest power |
|---|---|---|---|
| 2 | 22 | 2 | 22 |
| 3 | 3 | 32 | 32 |
| 5 | — | 5 | 5 |
| 7 | 7 | — | 7 |
— = 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 × 7 = 1,260
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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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