LCM for 125 and 165
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What's the Least Common Multiple (LCM) of 125 and 165?
Answer
LCM of 125 and 165 is
4,125
First common multiples: 4,125; 8,250; 12,375; …
4,125 is divisible by both: 4,125 ÷ 125 = 33; 4,125 ÷ 165 = 25 — and 33 and 25 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/125 by 33 and of y/165 by 25.
125 = 53
165 = 3 × 5 × 11
| Prime | 125 | 165 | Highest power |
|---|---|---|---|
| 3 | — | 3 | 3 |
| 5 | 53 | 5 | 53 |
| 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 = 3 × 53 × 11 = 4,125
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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 |
|---|---|---|
| 125 | 150 | 750 |
| 125 | 151 | 18,875 |
| 125 | 152 | 19,000 |
| 125 | 153 | 19,125 |
| 125 | 154 | 19,250 |
| 125 | 155 | 3,875 |
| 125 | 156 | 19,500 |
| 125 | 157 | 19,625 |
| 125 | 158 | 19,750 |
| 125 | 159 | 19,875 |
| 125 | 160 | 4,000 |
| 125 | 161 | 20,125 |
| 125 | 162 | 20,250 |
| 125 | 163 | 20,375 |
| 125 | 164 | 20,500 |
| 125 | 165 | 4,125 |
| 125 | 166 | 20,750 |
| 125 | 167 | 20,875 |
| 125 | 168 | 21,000 |
| 125 | 169 | 21,125 |
| 125 | 170 | 4,250 |
| 125 | 171 | 21,375 |
| 125 | 172 | 21,500 |
| 125 | 173 | 21,625 |
| 125 | 174 | 21,750 |
| 125 | 175 | 875 |
| 125 | 176 | 22,000 |
| 125 | 177 | 22,125 |
| 125 | 178 | 22,250 |
| 125 | 179 | 22,375 |