LCM for 64 and 125
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What's the Least Common Multiple (LCM) of 64 and 125?
Answer
LCM of 64 and 125 is
8,000
First common multiples: 8,000; 16,000; 24,000; …
8,000 is divisible by both: 8,000 ÷ 64 = 125; 8,000 ÷ 125 = 64 — and 125 and 64 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/64 by 125 and of y/125 by 64.
64 and 125 are coprime (GCF = 1), so their LCM is simply the product: 64 × 125 = 8,000.
64 = 26
125 = 53
| Prime | 64 | 125 | Highest power |
|---|---|---|---|
| 2 | 26 | — | 26 |
| 5 | — | 53 | 53 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 26 × 53 = 8,000
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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 | 110 | 3,520 |
| 64 | 111 | 7,104 |
| 64 | 112 | 448 |
| 64 | 113 | 7,232 |
| 64 | 114 | 3,648 |
| 64 | 115 | 7,360 |
| 64 | 116 | 1,856 |
| 64 | 117 | 7,488 |
| 64 | 118 | 3,776 |
| 64 | 119 | 7,616 |
| 64 | 120 | 960 |
| 64 | 121 | 7,744 |
| 64 | 122 | 3,904 |
| 64 | 123 | 7,872 |
| 64 | 124 | 1,984 |
| 64 | 125 | 8,000 |
| 64 | 126 | 4,032 |
| 64 | 127 | 8,128 |
| 64 | 128 | 128 |
| 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 |