LCM for 63 and 112

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What's the Least Common Multiple (LCM) of 63 and 112?

Answer

LCM of 63 and 112 is
1,008

(One thousand eight)

Finding LCM for 63 and 112 using GCF of these numbers

The first method to find LCM for numbers 63 and 112 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 63 and 112 is 7, so

LCM = (63 × 112) ÷ 7

LCM = 7,056 ÷ 7

LCM = 1,008

Finding LCM for 63 and 112 by Listing Multiples

The second method to find LCM for numbers 63 and 112 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, 441, 504, 567, 630, 693, 756, 819, 882, 945, 1,008, 1,071, 1,134

Multiples of 112: 112, 224, 336, 448, 560, 672, 784, 896, 1,008, 1,120, 1,232

So the LCM for 63 and 112 is 1,008

Finding LCM for 63 and 112 by Prime Factorization

Another method to find LCM for numbers 63 and 112 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 112: 2, 2, 2, 2, 7 (exponent form: 24, 71)

32 × 71 × 24 = 1,008

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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 112? (The answer is: 1,008). Select the first number (e.g. '63') and the second number (e.g. '112'). 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
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LCM Table

Number 1Number 2LCM
63976,111
6398882
6399693
631006,300
631016,363
631022,142
631036,489
631046,552
63105315
631066,678
631076,741
63108756
631096,867
631106,930
631112,331
631121,008
631137,119
631142,394
631157,245
631167,308
63117819
631187,434
631191,071
631202,520
631217,623
631227,686
631232,583
631247,812
631257,875
63126126

FAQ

What's the Least Common Multiple (LCM) of 63 and 112?

LCM of 63 and 112 is 1,008

How to find the LCM of 63 and 112 using prime factorization?

To find the LCM of 63 and 112, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,008.

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 112: LCM = 1,008, GCF = 7.

See Also