LCM for 168 and 180
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 168 and 180?
Answer
LCM of 168 and 180 is
2,520
First common multiples: 2,520; 5,040; 7,560; …
2,520 is divisible by both: 2,520 ÷ 168 = 15; 2,520 ÷ 180 = 14 — and 15 and 14 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/168 by 15 and of y/180 by 14.
168 = 23 × 3 × 7
180 = 22 × 32 × 5
| Prime | 168 | 180 | Highest power |
|---|---|---|---|
| 2 | 23 | 22 | 23 |
| 3 | 3 | 32 | 32 |
| 5 | — | 5 | 5 |
| 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 × 32 × 5 × 7 = 2,520
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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 | 165 | 9,240 |
| 168 | 166 | 13,944 |
| 168 | 167 | 28,056 |
| 168 | 168 | 168 |
| 168 | 169 | 28,392 |
| 168 | 170 | 14,280 |
| 168 | 171 | 9,576 |
| 168 | 172 | 7,224 |
| 168 | 173 | 29,064 |
| 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 |