LCM for 121 and 225
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What's the Least Common Multiple (LCM) of 121 and 225?
Answer
LCM of 121 and 225 is
27,225
First common multiples: 27,225; 54,450; 81,675; …
27,225 is divisible by both: 27,225 ÷ 121 = 225; 27,225 ÷ 225 = 121 — and 225 and 121 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/121 by 225 and of y/225 by 121.
121 and 225 are coprime (GCF = 1), so their LCM is simply the product: 121 × 225 = 27,225.
121 = 112
225 = 32 × 52
| Prime | 121 | 225 | Highest power |
|---|---|---|---|
| 3 | — | 32 | 32 |
| 5 | — | 52 | 52 |
| 11 | 112 | — | 112 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 32 × 52 × 112 = 27,225
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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 |
|---|---|---|
| 121 | 210 | 25,410 |
| 121 | 211 | 25,531 |
| 121 | 212 | 25,652 |
| 121 | 213 | 25,773 |
| 121 | 214 | 25,894 |
| 121 | 215 | 26,015 |
| 121 | 216 | 26,136 |
| 121 | 217 | 26,257 |
| 121 | 218 | 26,378 |
| 121 | 219 | 26,499 |
| 121 | 220 | 2,420 |
| 121 | 221 | 26,741 |
| 121 | 222 | 26,862 |
| 121 | 223 | 26,983 |
| 121 | 224 | 27,104 |
| 121 | 225 | 27,225 |
| 121 | 226 | 27,346 |
| 121 | 227 | 27,467 |
| 121 | 228 | 27,588 |
| 121 | 229 | 27,709 |
| 121 | 230 | 27,830 |
| 121 | 231 | 2,541 |
| 121 | 232 | 28,072 |
| 121 | 233 | 28,193 |
| 121 | 234 | 28,314 |
| 121 | 235 | 28,435 |
| 121 | 236 | 28,556 |
| 121 | 237 | 28,677 |
| 121 | 238 | 28,798 |
| 121 | 239 | 28,919 |