LCM for 2 and 33
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What's the Least Common Multiple (LCM) of 2 and 33?
Answer
LCM of 2 and 33 is
66
First common multiples: 66, 132, 198, …
66 is divisible by both: 66 ÷ 2 = 33, 66 ÷ 33 = 2 — and 33 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/2 by 33 and of y/33 by 2.
2 and 33 are coprime (GCF = 1), so their LCM is simply the product: 2 × 33 = 66.
2 — prime
33 = 3 × 11
| Prime | 2 | 33 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | — | 3 | 3 |
| 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 = 2 × 3 × 11 = 66
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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
LCM Table
FAQ
What's the Least Common Multiple (LCM) of 2 and 33?
LCM of 2 and 33 is 66
How to find the LCM of 2 and 33 using prime factorization?
To find the LCM of 2 and 33, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 66.
What is the difference between LCM and GCF?
LCM (Least Common Multiple) is the smallest number divisible by both numbers, while GCF (Greatest Common Factor) is the largest number that divides both. For 2 and 33: LCM = 66, GCF = 1.
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