LCM for 14 and 32
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What's the Least Common Multiple (LCM) of 14 and 32?
Answer
LCM of 14 and 32 is
224
First common multiples: 224, 448, 672, …
224 is divisible by both: 224 ÷ 14 = 16, 224 ÷ 32 = 7 — and 16 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/14 by 16 and of y/32 by 7.
14 = 2 × 7
32 = 25
| Prime | 14 | 32 | Highest power |
|---|---|---|---|
| 2 | 2 | 25 | 25 |
| 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 = 25 × 7 = 224
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- 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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