LCM for 63 and 42

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Least Common Multiple of
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What's the Least Common Multiple (LCM) of 63 and 42?

Answer

LCM of 63 and 42 is
126

(One hundred twenty-six)

Finding LCM for 63 and 42 using GCF of these numbers

The first method to find LCM for numbers 63 and 42 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 63 and 42 is 21, so

LCM = (63 × 42) ÷ 21

LCM = 2,646 ÷ 21

LCM = 126

Finding LCM for 63 and 42 by Listing Multiples

The second method to find LCM for numbers 63 and 42 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 63: 63, 126, 189, 252

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

So the LCM for 63 and 42 is 126

Finding LCM for 63 and 42 by Prime Factorization

Another method to find LCM for numbers 63 and 42 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 63: 3, 3, 7 (exponent form: 32, 71)

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

32 × 71 × 21 = 126

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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 63 and 42? (The answer is: 126). Select the first number (e.g. '63') and the second number (e.g. '42'). 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
6327189
6328252
63291,827
6330630
63311,953
63322,016
6333693
63342,142
6335315
6336252
63372,331
63382,394
6339819
63402,520
63412,583
6342126
63432,709
63442,772
6345315
63462,898
63472,961
63481,008
6349441
63503,150
63511,071
63523,276
63533,339
6354378
63553,465
6356504

FAQ

What's the Least Common Multiple (LCM) of 63 and 42?

LCM of 63 and 42 is 126

How to find the LCM of 63 and 42 using prime factorization?

To find the LCM of 63 and 42, 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 63 and 42: LCM = 126, GCF = 21.

See Also