LCM for 42 and 126
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What's the Least Common Multiple (LCM) of 42 and 126?
Answer
LCM of 42 and 126 is
126
First common multiples: 126, 252, 378, …
As a common denominator: multiply the top and bottom of x/42 by 3.
42 divides 126 (126 ÷ 42 = 3), so the LCM is the larger number itself.
42 = 2 × 3 × 7
126 = 2 × 32 × 7
| Prime | 42 | 126 | Highest power |
|---|---|---|---|
| 2 | 2 | 2 | 2 |
| 3 | 3 | 32 | 32 |
| 7 | 7 | 7 | 7 |
LCM = 2 × 32 × 7 = 126
More with these numbers
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 42 and 126?
LCM of 42 and 126 is 126
How to find the LCM of 42 and 126 using prime factorization?
To find the LCM of 42 and 126, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 126.
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 42 and 126: LCM = 126, GCF = 42.
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