LCM for 6 and 39
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What's the Least Common Multiple (LCM) of 6 and 39?
Answer
LCM of 6 and 39 is
78
First common multiples: 78, 156, 234, …
78 is divisible by both: 78 ÷ 6 = 13, 78 ÷ 39 = 2 — and 13 and 2 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/6 by 13 and of y/39 by 2.
6 = 2 × 3
39 = 3 × 13
| Prime | 6 | 39 | Highest power |
|---|---|---|---|
| 2 | 2 | — | 2 |
| 3 | 3 | 3 | 3 |
| 13 | — | 13 | 13 |
— = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.
LCM = 2 × 3 × 13 = 78
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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 6 and 39?
LCM of 6 and 39 is 78
How to find the LCM of 6 and 39 using prime factorization?
To find the LCM of 6 and 39, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 78.
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 6 and 39: LCM = 78, GCF = 3.
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