LCM for 72 and 75
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What's the Least Common Multiple (LCM) of 72 and 75?
Answer
LCM of 72 and 75 is
1,800
First common multiples: 1,800; 3,600; 5,400; …
1,800 is divisible by both: 1,800 ÷ 72 = 25; 1,800 ÷ 75 = 24 — and 25 and 24 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/72 by 25 and of y/75 by 24.
72 = 23 × 32
75 = 3 × 52
| Prime | 72 | 75 | Highest power |
|---|---|---|---|
| 2 | 23 | — | 23 |
| 3 | 32 | 3 | 32 |
| 5 | — | 52 | 52 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 32 × 52 = 1,800
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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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