LCM for 99 and 165
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What's the Least Common Multiple (LCM) of 99 and 165?
Answer
LCM of 99 and 165 is
495
First common multiples: 495; 990; 1,485; …
495 is divisible by both: 495 ÷ 99 = 5, 495 ÷ 165 = 3 — and 5 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/99 by 5 and of y/165 by 3.
99 = 32 × 11
165 = 3 × 5 × 11
| Prime | 99 | 165 | Highest power |
|---|---|---|---|
| 3 | 32 | 3 | 32 |
| 5 | — | 5 | 5 |
| 11 | 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 = 32 × 5 × 11 = 495
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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 |
|---|---|---|
| 99 | 150 | 4,950 |
| 99 | 151 | 14,949 |
| 99 | 152 | 15,048 |
| 99 | 153 | 1,683 |
| 99 | 154 | 1,386 |
| 99 | 155 | 15,345 |
| 99 | 156 | 5,148 |
| 99 | 157 | 15,543 |
| 99 | 158 | 15,642 |
| 99 | 159 | 5,247 |
| 99 | 160 | 15,840 |
| 99 | 161 | 15,939 |
| 99 | 162 | 1,782 |
| 99 | 163 | 16,137 |
| 99 | 164 | 16,236 |
| 99 | 165 | 495 |
| 99 | 166 | 16,434 |
| 99 | 167 | 16,533 |
| 99 | 168 | 5,544 |
| 99 | 169 | 16,731 |
| 99 | 170 | 16,830 |
| 99 | 171 | 1,881 |
| 99 | 172 | 17,028 |
| 99 | 173 | 17,127 |
| 99 | 174 | 5,742 |
| 99 | 175 | 17,325 |
| 99 | 176 | 1,584 |
| 99 | 177 | 5,841 |
| 99 | 178 | 17,622 |
| 99 | 179 | 17,721 |