LCM for 80 and 420
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What's the Least Common Multiple (LCM) of 80 and 420?
Answer
LCM of 80 and 420 is
1,680
First common multiples: 1,680; 3,360; 5,040; …
1,680 is divisible by both: 1,680 ÷ 80 = 21; 1,680 ÷ 420 = 4 — and 21 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/80 by 21 and of y/420 by 4.
80 = 24 × 5
420 = 22 × 3 × 5 × 7
| Prime | 80 | 420 | Highest power |
|---|---|---|---|
| 2 | 24 | 22 | 24 |
| 3 | — | 3 | 3 |
| 5 | 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 = 24 × 3 × 5 × 7 = 1,680
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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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