LCM for 180 and 330
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 180 and 330?
Answer
LCM of 180 and 330 is
1,980
First common multiples: 1,980; 3,960; 5,940; …
1,980 is divisible by both: 1,980 ÷ 180 = 11; 1,980 ÷ 330 = 6 — and 11 and 6 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/180 by 11 and of y/330 by 6.
180 = 22 × 32 × 5
330 = 2 × 3 × 5 × 11
| Prime | 180 | 330 | Highest power |
|---|---|---|---|
| 2 | 22 | 2 | 22 |
| 3 | 32 | 3 | 32 |
| 5 | 5 | 5 | 5 |
| 11 | — | 11 | 11 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 32 × 5 × 11 = 1,980
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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 |
|---|---|---|
| 180 | 315 | 1,260 |
| 180 | 316 | 14,220 |
| 180 | 317 | 57,060 |
| 180 | 318 | 9,540 |
| 180 | 319 | 57,420 |
| 180 | 320 | 2,880 |
| 180 | 321 | 19,260 |
| 180 | 322 | 28,980 |
| 180 | 323 | 58,140 |
| 180 | 324 | 1,620 |
| 180 | 325 | 11,700 |
| 180 | 326 | 29,340 |
| 180 | 327 | 19,620 |
| 180 | 328 | 14,760 |
| 180 | 329 | 59,220 |
| 180 | 330 | 1,980 |
| 180 | 331 | 59,580 |
| 180 | 332 | 14,940 |
| 180 | 333 | 6,660 |
| 180 | 334 | 30,060 |
| 180 | 335 | 12,060 |
| 180 | 336 | 5,040 |
| 180 | 337 | 60,660 |
| 180 | 338 | 30,420 |
| 180 | 339 | 20,340 |
| 180 | 340 | 3,060 |
| 180 | 341 | 61,380 |
| 180 | 342 | 3,420 |
| 180 | 343 | 61,740 |
| 180 | 344 | 15,480 |