LCM for 33 and 77
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What's the Least Common Multiple (LCM) of 33 and 77?
Answer
LCM of 33 and 77 is
231
First common multiples: 231, 462, 693, …
231 is divisible by both: 231 ÷ 33 = 7, 231 ÷ 77 = 3 — and 7 and 3 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/33 by 7 and of y/77 by 3.
33 = 3 × 11
77 = 7 × 11
| Prime | 33 | 77 | Highest power |
|---|---|---|---|
| 3 | 3 | — | 3 |
| 7 | — | 7 | 7 |
| 11 | 11 | 11 | 11 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 3 × 7 × 11 = 231
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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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