LCM for 63 and 112
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What's the Least Common Multiple (LCM) of 63 and 112?
Answer
LCM of 63 and 112 is
1,008
First common multiples: 1,008; 2,016; 3,024; …
1,008 is divisible by both: 1,008 ÷ 63 = 16; 1,008 ÷ 112 = 9 — and 16 and 9 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/63 by 16 and of y/112 by 9.
63 = 32 × 7
112 = 24 × 7
| Prime | 63 | 112 | Highest power |
|---|---|---|---|
| 2 | — | 24 | 24 |
| 3 | 32 | — | 32 |
| 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 × 32 × 7 = 1,008
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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 |
|---|---|---|
| 63 | 97 | 6,111 |
| 63 | 98 | 882 |
| 63 | 99 | 693 |
| 63 | 100 | 6,300 |
| 63 | 101 | 6,363 |
| 63 | 102 | 2,142 |
| 63 | 103 | 6,489 |
| 63 | 104 | 6,552 |
| 63 | 105 | 315 |
| 63 | 106 | 6,678 |
| 63 | 107 | 6,741 |
| 63 | 108 | 756 |
| 63 | 109 | 6,867 |
| 63 | 110 | 6,930 |
| 63 | 111 | 2,331 |
| 63 | 112 | 1,008 |
| 63 | 113 | 7,119 |
| 63 | 114 | 2,394 |
| 63 | 115 | 7,245 |
| 63 | 116 | 7,308 |
| 63 | 117 | 819 |
| 63 | 118 | 7,434 |
| 63 | 119 | 1,071 |
| 63 | 120 | 2,520 |
| 63 | 121 | 7,623 |
| 63 | 122 | 7,686 |
| 63 | 123 | 2,583 |
| 63 | 124 | 7,812 |
| 63 | 125 | 7,875 |
| 63 | 126 | 126 |