LCM for 64 and 144
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What's the Least Common Multiple (LCM) of 64 and 144?
Answer
LCM of 64 and 144 is
576
First common multiples: 576; 1,152; 1,728; …
576 is divisible by both: 576 ÷ 64 = 9, 576 ÷ 144 = 4 — and 9 and 4 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/64 by 9 and of y/144 by 4.
64 = 26
144 = 24 × 32
| Prime | 64 | 144 | Highest power |
|---|---|---|---|
| 2 | 26 | 24 | 26 |
| 3 | — | 32 | 32 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 26 × 32 = 576
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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 |
|---|---|---|
| 64 | 129 | 8,256 |
| 64 | 130 | 4,160 |
| 64 | 131 | 8,384 |
| 64 | 132 | 2,112 |
| 64 | 133 | 8,512 |
| 64 | 134 | 4,288 |
| 64 | 135 | 8,640 |
| 64 | 136 | 1,088 |
| 64 | 137 | 8,768 |
| 64 | 138 | 4,416 |
| 64 | 139 | 8,896 |
| 64 | 140 | 2,240 |
| 64 | 141 | 9,024 |
| 64 | 142 | 4,544 |
| 64 | 143 | 9,152 |
| 64 | 144 | 576 |
| 64 | 145 | 9,280 |
| 64 | 146 | 4,672 |
| 64 | 147 | 9,408 |
| 64 | 148 | 2,368 |
| 64 | 149 | 9,536 |
| 64 | 150 | 4,800 |
| 64 | 151 | 9,664 |
| 64 | 152 | 1,216 |
| 64 | 153 | 9,792 |
| 64 | 154 | 4,928 |
| 64 | 155 | 9,920 |
| 64 | 156 | 2,496 |
| 64 | 157 | 10,048 |
| 64 | 158 | 5,056 |