LCM for 12 and 300
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What's the Least Common Multiple (LCM) of 12 and 300?
Answer
LCM of 12 and 300 is
300
First common multiples: 300, 600, 900, …
As a common denominator: multiply the top and bottom of x/12 by 25.
12 divides 300 (300 ÷ 12 = 25), so the LCM is the larger number itself.
12 = 22 × 3
300 = 22 × 3 × 52
| Prime | 12 | 300 | Highest power |
|---|---|---|---|
| 2 | 22 | 22 | 22 |
| 3 | 3 | 3 | 3 |
| 5 | — | 52 | 52 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 22 × 3 × 52 = 300
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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 12 and 300?
LCM of 12 and 300 is 300
How to find the LCM of 12 and 300 using prime factorization?
To find the LCM of 12 and 300, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 300.
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 12 and 300: LCM = 300, GCF = 12.
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