LCM for 112 and 168
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What's the Least Common Multiple (LCM) of 112 and 168?
Answer
LCM of 112 and 168 is
336
First common multiples: 336; 672; 1,008; …
336 is divisible by both: 336 ÷ 112 = 3, 336 ÷ 168 = 2 — and 3 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/112 by 3 and of y/168 by 2.
112 = 24 × 7
168 = 23 × 3 × 7
| Prime | 112 | 168 | Highest power |
|---|---|---|---|
| 2 | 24 | 23 | 24 |
| 3 | — | 3 | 3 |
| 7 | 7 | 7 | 7 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 24 × 3 × 7 = 336
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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 |
|---|---|---|
| 112 | 153 | 17,136 |
| 112 | 154 | 1,232 |
| 112 | 155 | 17,360 |
| 112 | 156 | 4,368 |
| 112 | 157 | 17,584 |
| 112 | 158 | 8,848 |
| 112 | 159 | 17,808 |
| 112 | 160 | 1,120 |
| 112 | 161 | 2,576 |
| 112 | 162 | 9,072 |
| 112 | 163 | 18,256 |
| 112 | 164 | 4,592 |
| 112 | 165 | 18,480 |
| 112 | 166 | 9,296 |
| 112 | 167 | 18,704 |
| 112 | 168 | 336 |
| 112 | 169 | 18,928 |
| 112 | 170 | 9,520 |
| 112 | 171 | 19,152 |
| 112 | 172 | 4,816 |
| 112 | 173 | 19,376 |
| 112 | 174 | 9,744 |
| 112 | 175 | 2,800 |
| 112 | 176 | 1,232 |
| 112 | 177 | 19,824 |
| 112 | 178 | 9,968 |
| 112 | 179 | 20,048 |
| 112 | 180 | 5,040 |
| 112 | 181 | 20,272 |
| 112 | 182 | 1,456 |