LCM for 144 and 160
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What's the Least Common Multiple (LCM) of 144 and 160?
Answer
LCM of 144 and 160 is
1,440
First common multiples: 1,440; 2,880; 4,320; …
1,440 is divisible by both: 1,440 ÷ 144 = 10; 1,440 ÷ 160 = 9 — and 10 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/144 by 10 and of y/160 by 9.
144 = 24 × 32
160 = 25 × 5
| Prime | 144 | 160 | Highest power |
|---|---|---|---|
| 2 | 24 | 25 | 25 |
| 3 | 32 | — | 32 |
| 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 = 25 × 32 × 5 = 1,440
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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 |
|---|---|---|
| 144 | 145 | 20,880 |
| 144 | 146 | 10,512 |
| 144 | 147 | 7,056 |
| 144 | 148 | 5,328 |
| 144 | 149 | 21,456 |
| 144 | 150 | 3,600 |
| 144 | 151 | 21,744 |
| 144 | 152 | 2,736 |
| 144 | 153 | 2,448 |
| 144 | 154 | 11,088 |
| 144 | 155 | 22,320 |
| 144 | 156 | 1,872 |
| 144 | 157 | 22,608 |
| 144 | 158 | 11,376 |
| 144 | 159 | 7,632 |
| 144 | 160 | 1,440 |
| 144 | 161 | 23,184 |
| 144 | 162 | 1,296 |
| 144 | 163 | 23,472 |
| 144 | 164 | 5,904 |
| 144 | 165 | 7,920 |
| 144 | 166 | 11,952 |
| 144 | 167 | 24,048 |
| 144 | 168 | 1,008 |
| 144 | 169 | 24,336 |
| 144 | 170 | 12,240 |
| 144 | 171 | 2,736 |
| 144 | 172 | 6,192 |
| 144 | 173 | 24,912 |
| 144 | 174 | 4,176 |