LCM for 4 and 35
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What's the Least Common Multiple (LCM) of 4 and 35?
Answer
LCM of 4 and 35 is
140
First common multiples: 140, 280, 420, …
140 is divisible by both: 140 ÷ 4 = 35, 140 ÷ 35 = 4 — and 35 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/4 by 35 and of y/35 by 4.
4 and 35 are coprime (GCF = 1), so their LCM is simply the product: 4 × 35 = 140.
4 = 22
35 = 5 × 7
| Prime | 4 | 35 | Highest power |
|---|---|---|---|
| 2 | 22 | — | 22 |
| 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 × 5 × 7 = 140
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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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