LCM for 126 and 168
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 126 and 168?
Answer
LCM of 126 and 168 is
504
First common multiples: 504; 1,008; 1,512; …
504 is divisible by both: 504 ÷ 126 = 4, 504 ÷ 168 = 3 — and 4 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/126 by 4 and of y/168 by 3.
126 = 2 × 32 × 7
168 = 23 × 3 × 7
| Prime | 126 | 168 | Highest power |
|---|---|---|---|
| 2 | 2 | 23 | 23 |
| 3 | 32 | 3 | 32 |
| 7 | 7 | 7 | 7 |
LCM = 23 × 32 × 7 = 504
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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 |
|---|---|---|
| 126 | 153 | 2,142 |
| 126 | 154 | 1,386 |
| 126 | 155 | 19,530 |
| 126 | 156 | 3,276 |
| 126 | 157 | 19,782 |
| 126 | 158 | 9,954 |
| 126 | 159 | 6,678 |
| 126 | 160 | 10,080 |
| 126 | 161 | 2,898 |
| 126 | 162 | 1,134 |
| 126 | 163 | 20,538 |
| 126 | 164 | 10,332 |
| 126 | 165 | 6,930 |
| 126 | 166 | 10,458 |
| 126 | 167 | 21,042 |
| 126 | 168 | 504 |
| 126 | 169 | 21,294 |
| 126 | 170 | 10,710 |
| 126 | 171 | 2,394 |
| 126 | 172 | 10,836 |
| 126 | 173 | 21,798 |
| 126 | 174 | 3,654 |
| 126 | 175 | 3,150 |
| 126 | 176 | 11,088 |
| 126 | 177 | 7,434 |
| 126 | 178 | 11,214 |
| 126 | 179 | 22,554 |
| 126 | 180 | 1,260 |
| 126 | 181 | 22,806 |
| 126 | 182 | 1,638 |