LCM for 63 and 84

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What's the Least Common Multiple (LCM) of 63 and 84?

Answer

LCM of 63 and 84 is
252

(Two hundred fifty-two)

Finding LCM for 63 and 84 using GCF of these numbers

The first method to find LCM for numbers 63 and 84 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 63 and 84 is 21, so

LCM = (63 × 84) ÷ 21

LCM = 5,292 ÷ 21

LCM = 252

Finding LCM for 63 and 84 by Listing Multiples

The second method to find LCM for numbers 63 and 84 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 63: 63, 126, 189, 252, 315, 378

Multiples of 84: 84, 168, 252, 336, 420

So the LCM for 63 and 84 is 252

Finding LCM for 63 and 84 by Prime Factorization

Another method to find LCM for numbers 63 and 84 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 84: 2, 2, 3, 7 (exponent form: 22, 31, 71)

32 × 71 × 22 = 252

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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 84? (The answer is: 252). Select the first number (e.g. '63') and the second number (e.g. '84'). 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
63691,449
6370630
63714,473
6372504
63734,599
63744,662
63751,575
63764,788
6377693
63781,638
63794,977
63805,040
6381567
63825,166
63835,229
6384252
63855,355
63865,418
63871,827
63885,544
63895,607
6390630
6391819
63925,796
63931,953
63945,922
63955,985
63962,016
63976,111
6398882

FAQ

What's the Least Common Multiple (LCM) of 63 and 84?

LCM of 63 and 84 is 252

How to find the LCM of 63 and 84 using prime factorization?

To find the LCM of 63 and 84, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 252.

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 84: LCM = 252, GCF = 21.

See Also