LCM for 75 and 80
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What's the Least Common Multiple (LCM) of 75 and 80?
Answer
LCM of 75 and 80 is
1,200
First common multiples: 1,200; 2,400; 3,600; …
1,200 is divisible by both: 1,200 ÷ 75 = 16; 1,200 ÷ 80 = 15 — and 16 and 15 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/75 by 16 and of y/80 by 15.
75 = 3 × 52
80 = 24 × 5
| Prime | 75 | 80 | Highest power |
|---|---|---|---|
| 2 | — | 24 | 24 |
| 3 | 3 | — | 3 |
| 5 | 52 | 5 | 52 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 24 × 3 × 52 = 1,200
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- 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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