LCM for 28 and 42
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What's the Least Common Multiple (LCM) of 28 and 42?
Answer
LCM of 28 and 42 is
84
First common multiples: 84, 168, 252, …
84 is divisible by both: 84 ÷ 28 = 3, 84 ÷ 42 = 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/28 by 3 and of y/42 by 2.
28 = 22 × 7
42 = 2 × 3 × 7
| Prime | 28 | 42 | Highest power |
|---|---|---|---|
| 2 | 22 | 2 | 22 |
| 3 | — | 3 | 3 |
| 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 × 7 = 84
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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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