LCM for 220 and 308
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 220 and 308?
Answer
LCM of 220 and 308 is
1,540
First common multiples: 1,540; 3,080; 4,620; …
1,540 is divisible by both: 1,540 ÷ 220 = 7; 1,540 ÷ 308 = 5 — and 7 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/220 by 7 and of y/308 by 5.
220 = 22 × 5 × 11
308 = 22 × 7 × 11
| Prime | 220 | 308 | Highest power |
|---|---|---|---|
| 2 | 22 | 22 | 22 |
| 5 | 5 | — | 5 |
| 7 | — | 7 | 7 |
| 11 | 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 × 5 × 7 × 11 = 1,540
More with these numbers
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
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 220 | 293 | 64,460 |
| 220 | 294 | 32,340 |
| 220 | 295 | 12,980 |
| 220 | 296 | 16,280 |
| 220 | 297 | 5,940 |
| 220 | 298 | 32,780 |
| 220 | 299 | 65,780 |
| 220 | 300 | 3,300 |
| 220 | 301 | 66,220 |
| 220 | 302 | 33,220 |
| 220 | 303 | 66,660 |
| 220 | 304 | 16,720 |
| 220 | 305 | 13,420 |
| 220 | 306 | 33,660 |
| 220 | 307 | 67,540 |
| 220 | 308 | 1,540 |
| 220 | 309 | 67,980 |
| 220 | 310 | 6,820 |
| 220 | 311 | 68,420 |
| 220 | 312 | 17,160 |
| 220 | 313 | 68,860 |
| 220 | 314 | 34,540 |
| 220 | 315 | 13,860 |
| 220 | 316 | 17,380 |
| 220 | 317 | 69,740 |
| 220 | 318 | 34,980 |
| 220 | 319 | 6,380 |
| 220 | 320 | 3,520 |
| 220 | 321 | 70,620 |
| 220 | 322 | 35,420 |
FAQ
What's the Least Common Multiple (LCM) of 220 and 308?
LCM of 220 and 308 is 1,540
How to find the LCM of 220 and 308 using prime factorization?
To find the LCM of 220 and 308, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,540.
What is the difference between LCM and GCF?
LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 220 and 308: LCM = 1,540, GCF = 44.
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