LCM for 168 and 189
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What's the Least Common Multiple (LCM) of 168 and 189?
Answer
LCM of 168 and 189 is
1,512
First common multiples: 1,512; 3,024; 4,536; …
1,512 is divisible by both: 1,512 ÷ 168 = 9; 1,512 ÷ 189 = 8 — and 9 and 8 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/168 by 9 and of y/189 by 8.
168 = 23 × 3 × 7
189 = 33 × 7
| Prime | 168 | 189 | Highest power |
|---|---|---|---|
| 2 | 23 | — | 23 |
| 3 | 3 | 33 | 33 |
| 7 | 7 | 7 | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 23 × 33 × 7 = 1,512
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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 | 174 | 4,872 |
| 168 | 175 | 4,200 |
| 168 | 176 | 3,696 |
| 168 | 177 | 9,912 |
| 168 | 178 | 14,952 |
| 168 | 179 | 30,072 |
| 168 | 180 | 2,520 |
| 168 | 181 | 30,408 |
| 168 | 182 | 2,184 |
| 168 | 183 | 10,248 |
| 168 | 184 | 3,864 |
| 168 | 185 | 31,080 |
| 168 | 186 | 5,208 |
| 168 | 187 | 31,416 |
| 168 | 188 | 7,896 |
| 168 | 189 | 1,512 |
| 168 | 190 | 15,960 |
| 168 | 191 | 32,088 |
| 168 | 192 | 1,344 |
| 168 | 193 | 32,424 |
| 168 | 194 | 16,296 |
| 168 | 195 | 10,920 |
| 168 | 196 | 1,176 |
| 168 | 197 | 33,096 |
| 168 | 198 | 5,544 |
| 168 | 199 | 33,432 |
| 168 | 200 | 4,200 |
| 168 | 201 | 11,256 |
| 168 | 202 | 16,968 |
| 168 | 203 | 4,872 |