LCM for 3 and 42
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 3 and 42?
Answer
LCM of 3 and 42 is
42
First common multiples: 42, 84, 126, …
As a common denominator: multiply the top and bottom of x/3 by 14.
3 divides 42 (42 ÷ 3 = 14), so the LCM is the larger number itself.
3 — prime
42 = 2 × 3 × 7
| Prime | 3 | 42 | Highest power |
|---|---|---|---|
| 2 | — | 2 | 2 |
| 3 | 3 | 3 | 3 |
| 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 = 2 × 3 × 7 = 42
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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 3 and 42?
LCM of 3 and 42 is 42
How to find the LCM of 3 and 42 using prime factorization?
To find the LCM of 3 and 42, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 42.
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 3 and 42: LCM = 42, GCF = 3.
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