LCM for 120 and 180
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What's the Least Common Multiple (LCM) of 120 and 180?
Answer
LCM of 120 and 180 is
360
First common multiples: 360; 720; 1,080; …
360 is divisible by both: 360 ÷ 120 = 3, 360 ÷ 180 = 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/120 by 3 and of y/180 by 2.
120 = 23 × 3 × 5
180 = 22 × 32 × 5
| Prime | 120 | 180 | Highest power |
|---|---|---|---|
| 2 | 23 | 22 | 23 |
| 3 | 3 | 32 | 32 |
| 5 | 5 | 5 | 5 |
LCM = 23 × 32 × 5 = 360
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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 |
|---|---|---|
| 120 | 165 | 1,320 |
| 120 | 166 | 9,960 |
| 120 | 167 | 20,040 |
| 120 | 168 | 840 |
| 120 | 169 | 20,280 |
| 120 | 170 | 2,040 |
| 120 | 171 | 6,840 |
| 120 | 172 | 5,160 |
| 120 | 173 | 20,760 |
| 120 | 174 | 3,480 |
| 120 | 175 | 4,200 |
| 120 | 176 | 2,640 |
| 120 | 177 | 7,080 |
| 120 | 178 | 10,680 |
| 120 | 179 | 21,480 |
| 120 | 180 | 360 |
| 120 | 181 | 21,720 |
| 120 | 182 | 10,920 |
| 120 | 183 | 7,320 |
| 120 | 184 | 2,760 |
| 120 | 185 | 4,440 |
| 120 | 186 | 3,720 |
| 120 | 187 | 22,440 |
| 120 | 188 | 5,640 |
| 120 | 189 | 7,560 |
| 120 | 190 | 2,280 |
| 120 | 191 | 22,920 |
| 120 | 192 | 960 |
| 120 | 193 | 23,160 |
| 120 | 194 | 11,640 |