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

(One hundred twenty-six)

Finding LCM for 42 and 126 using GCF of these numbers

The first method to find LCM for numbers 42 and 126 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 42 and 126 is 42, so

LCM = (42 × 126) ÷ 42

LCM = 5292 ÷ 42

LCM = 126

Finding LCM for 42 and 126 by Listing Multiples

The second method to find LCM for numbers 42 and 126 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 42: 42, 84, 126, 168, 210

Multiples of 126: 126, 252, 378

So the LCM for 42 and 126 is 126

Finding LCM for 42 and 126 by Prime Factorization

Another method to find LCM for numbers 42 and 126 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 42: 2, 3, 7 (exponent form: 21, 31, 71)

All Prime Factors of 126: 2, 3, 3, 7 (exponent form: 21, 32, 71)

21 × 32 × 71 = 126

See Also

About "Least Common Multiple" Calculator

This calculator will help you find the Least Common Multiple (LCM) of two numbers. For example, it can help you find out what's the Least Common Multiple (LCM) of 42 and 126? (The answer is: 126). Select the first number (e.g. '42') and the second number (e.g. '126'). After that hit the 'Calculate' button.
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers
"Least Common Multiple" Calculator
Least Common Multiple of
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LCM Table

Number 1Number 2LCM
421111554
42112336
421134746
42114798
421154830
421162436
421171638
421182478
42119714
42120840
421215082
421222562
421231722
421242604
421255250
42126126
421275334
421282688
421291806
421302730
421315502
42132924
42133798
421342814
421351890
421362856
421375754
42138966
421395838
42140420

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.

See Also