LCM for 63 and 42

"Least Common Multiple" Calculator

Least Common Multiple of

and

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 = 2646 ÷ 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

and

LCM Table

Number 1Number 2LCM
6327189
6328252
63291827
6330630
63311953
63322016
6333693
63342142
6335315
6336252
63372331
63382394
6339819
63402520
63412583
6342126
63432709
63442772
6345315
63462898
63472961
63481008
6349441
63503150
63511071
63523276
63533339
6354378
63553465
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