LCM for 5 and 21
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What's the Least Common Multiple (LCM) of 5 and 21?
Answer
LCM of 5 and 21 is
105
First common multiples: 105, 210, 315, …
105 is divisible by both: 105 ÷ 5 = 21, 105 ÷ 21 = 5 — and 21 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/5 by 21 and of y/21 by 5.
5 and 21 are coprime (GCF = 1), so their LCM is simply the product: 5 × 21 = 105.
5 — prime
21 = 3 × 7
| Prime | 5 | 21 | Highest power |
|---|---|---|---|
| 3 | — | 3 | 3 |
| 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 = 3 × 5 × 7 = 105
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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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