LCM for 75 and 300
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What's the Least Common Multiple (LCM) of 75 and 300?
Answer
LCM of 75 and 300 is
300
First common multiples: 300, 600, 900, …
As a common denominator: multiply the top and bottom of x/75 by 4.
75 divides 300 (300 ÷ 75 = 4), so the LCM is the larger number itself.
75 = 3 × 52
300 = 22 × 3 × 52
| Prime | 75 | 300 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 3 | 3 | 3 | 3 |
| 5 | 52 | 52 | 52 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 3 × 52 = 300
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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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LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 75 | 285 | 1,425 |
| 75 | 286 | 21,450 |
| 75 | 287 | 21,525 |
| 75 | 288 | 7,200 |
| 75 | 289 | 21,675 |
| 75 | 290 | 4,350 |
| 75 | 291 | 7,275 |
| 75 | 292 | 21,900 |
| 75 | 293 | 21,975 |
| 75 | 294 | 7,350 |
| 75 | 295 | 4,425 |
| 75 | 296 | 22,200 |
| 75 | 297 | 7,425 |
| 75 | 298 | 22,350 |
| 75 | 299 | 22,425 |
| 75 | 300 | 300 |
| 75 | 301 | 22,575 |
| 75 | 302 | 22,650 |
| 75 | 303 | 7,575 |
| 75 | 304 | 22,800 |
| 75 | 305 | 4,575 |
| 75 | 306 | 7,650 |
| 75 | 307 | 23,025 |
| 75 | 308 | 23,100 |
| 75 | 309 | 7,725 |
| 75 | 310 | 4,650 |
| 75 | 311 | 23,325 |
| 75 | 312 | 7,800 |
| 75 | 313 | 23,475 |
| 75 | 314 | 23,550 |