LCM for 112 and 128
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What's the Least Common Multiple (LCM) of 112 and 128?
Answer
LCM of 112 and 128 is
896
First common multiples: 896; 1,792; 2,688; …
896 is divisible by both: 896 ÷ 112 = 8, 896 ÷ 128 = 7 — and 8 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/112 by 8 and of y/128 by 7.
112 = 24 × 7
128 = 27
| Prime | 112 | 128 | Highest power |
|---|---|---|---|
| 2 | 24 | 27 | 27 |
| 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 = 27 × 7 = 896
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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 | 113 | 12,656 |
| 112 | 114 | 6,384 |
| 112 | 115 | 12,880 |
| 112 | 116 | 3,248 |
| 112 | 117 | 13,104 |
| 112 | 118 | 6,608 |
| 112 | 119 | 1,904 |
| 112 | 120 | 1,680 |
| 112 | 121 | 13,552 |
| 112 | 122 | 6,832 |
| 112 | 123 | 13,776 |
| 112 | 124 | 3,472 |
| 112 | 125 | 14,000 |
| 112 | 126 | 1,008 |
| 112 | 127 | 14,224 |
| 112 | 128 | 896 |
| 112 | 129 | 14,448 |
| 112 | 130 | 7,280 |
| 112 | 131 | 14,672 |
| 112 | 132 | 3,696 |
| 112 | 133 | 2,128 |
| 112 | 134 | 7,504 |
| 112 | 135 | 15,120 |
| 112 | 136 | 1,904 |
| 112 | 137 | 15,344 |
| 112 | 138 | 7,728 |
| 112 | 139 | 15,568 |
| 112 | 140 | 560 |
| 112 | 141 | 15,792 |
| 112 | 142 | 7,952 |