LCM for 168 and 252
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What's the Least Common Multiple (LCM) of 168 and 252?
Answer
LCM of 168 and 252 is
504
First common multiples: 504; 1,008; 1,512; …
504 is divisible by both: 504 ÷ 168 = 3, 504 ÷ 252 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/168 by 3 and of y/252 by 2.
168 = 23 × 3 × 7
252 = 22 × 32 × 7
| Prime | 168 | 252 | Highest power |
|---|---|---|---|
| 2 | 23 | 22 | 23 |
| 3 | 3 | 32 | 32 |
| 7 | 7 | 7 | 7 |
LCM = 23 × 32 × 7 = 504
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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 |
|---|---|---|
| 168 | 237 | 13,272 |
| 168 | 238 | 2,856 |
| 168 | 239 | 40,152 |
| 168 | 240 | 1,680 |
| 168 | 241 | 40,488 |
| 168 | 242 | 20,328 |
| 168 | 243 | 13,608 |
| 168 | 244 | 10,248 |
| 168 | 245 | 5,880 |
| 168 | 246 | 6,888 |
| 168 | 247 | 41,496 |
| 168 | 248 | 5,208 |
| 168 | 249 | 13,944 |
| 168 | 250 | 21,000 |
| 168 | 251 | 42,168 |
| 168 | 252 | 504 |
| 168 | 253 | 42,504 |
| 168 | 254 | 21,336 |
| 168 | 255 | 14,280 |
| 168 | 256 | 5,376 |
| 168 | 257 | 43,176 |
| 168 | 258 | 7,224 |
| 168 | 259 | 6,216 |
| 168 | 260 | 10,920 |
| 168 | 261 | 14,616 |
| 168 | 262 | 22,008 |
| 168 | 263 | 44,184 |
| 168 | 264 | 1,848 |
| 168 | 265 | 44,520 |
| 168 | 266 | 3,192 |