LCM for 84 and 105
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What's the Least Common Multiple (LCM) of 84 and 105?
Answer
LCM of 84 and 105 is
420
First common multiples: 420; 840; 1,260; …
420 is divisible by both: 420 ÷ 84 = 5, 420 ÷ 105 = 4 — and 5 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/84 by 5 and of y/105 by 4.
84 = 22 × 3 × 7
105 = 3 × 5 × 7
| Prime | 84 | 105 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 3 | 3 | 3 | 3 |
| 5 | — | 5 | 5 |
| 7 | 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 × 3 × 5 × 7 = 420
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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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