LCM for 135 and 165
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What's the Least Common Multiple (LCM) of 135 and 165?
Answer
LCM of 135 and 165 is
1,485
First common multiples: 1,485; 2,970; 4,455; …
1,485 is divisible by both: 1,485 ÷ 135 = 11; 1,485 ÷ 165 = 9 — and 11 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/135 by 11 and of y/165 by 9.
135 = 33 × 5
165 = 3 × 5 × 11
| Prime | 135 | 165 | Highest power |
|---|---|---|---|
| 3 | 33 | 3 | 33 |
| 5 | 5 | 5 | 5 |
| 11 | — | 11 | 11 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 33 × 5 × 11 = 1,485
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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 | 150 | 1,350 |
| 135 | 151 | 20,385 |
| 135 | 152 | 20,520 |
| 135 | 153 | 2,295 |
| 135 | 154 | 20,790 |
| 135 | 155 | 4,185 |
| 135 | 156 | 7,020 |
| 135 | 157 | 21,195 |
| 135 | 158 | 21,330 |
| 135 | 159 | 7,155 |
| 135 | 160 | 4,320 |
| 135 | 161 | 21,735 |
| 135 | 162 | 810 |
| 135 | 163 | 22,005 |
| 135 | 164 | 22,140 |
| 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 |