LCM for 135 and 180
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What's the Least Common Multiple (LCM) of 135 and 180?
Answer
LCM of 135 and 180 is
540
First common multiples: 540; 1,080; 1,620; …
540 is divisible by both: 540 ÷ 135 = 4, 540 ÷ 180 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/135 by 4 and of y/180 by 3.
135 = 33 × 5
180 = 22 × 32 × 5
| Prime | 135 | 180 | Highest power |
|---|---|---|---|
| 2 | — | 22 | 22 |
| 3 | 33 | 32 | 33 |
| 5 | 5 | 5 | 5 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 33 × 5 = 540
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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 |
|---|---|---|
| 135 | 165 | 1,485 |
| 135 | 166 | 22,410 |
| 135 | 167 | 22,545 |
| 135 | 168 | 7,560 |
| 135 | 169 | 22,815 |
| 135 | 170 | 4,590 |
| 135 | 171 | 2,565 |
| 135 | 172 | 23,220 |
| 135 | 173 | 23,355 |
| 135 | 174 | 7,830 |
| 135 | 175 | 4,725 |
| 135 | 176 | 23,760 |
| 135 | 177 | 7,965 |
| 135 | 178 | 24,030 |
| 135 | 179 | 24,165 |
| 135 | 180 | 540 |
| 135 | 181 | 24,435 |
| 135 | 182 | 24,570 |
| 135 | 183 | 8,235 |
| 135 | 184 | 24,840 |
| 135 | 185 | 4,995 |
| 135 | 186 | 8,370 |
| 135 | 187 | 25,245 |
| 135 | 188 | 25,380 |
| 135 | 189 | 945 |
| 135 | 190 | 5,130 |
| 135 | 191 | 25,785 |
| 135 | 192 | 8,640 |
| 135 | 193 | 26,055 |
| 135 | 194 | 26,190 |