LCM for 35 and 72
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What's the Least Common Multiple (LCM) of 35 and 72?
Answer
LCM of 35 and 72 is
2,520
First common multiples: 2,520; 5,040; 7,560; …
2,520 is divisible by both: 2,520 ÷ 35 = 72; 2,520 ÷ 72 = 35 — and 72 and 35 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/35 by 72 and of y/72 by 35.
35 and 72 are coprime (GCF = 1), so their LCM is simply the product: 35 × 72 = 2,520.
35 = 5 × 7
72 = 23 × 32
| Prime | 35 | 72 | Highest power |
|---|---|---|---|
| 2 | — | 23 | 23 |
| 3 | — | 32 | 32 |
| 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 = 23 × 32 × 5 × 7 = 2,520
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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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