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LCM for 36 and 112

"Least Common Multiple" Calculator

Least Common Multiple of

and

What's the Least Common Multiple (LCM) of 36 and 112?

Answer

LCM of 36 and 112 is 1,008

(One thousand, eight)

Finding LCM for 36 and 112 using GCF of these numbers

The first method to find LCM for numbers 36 and 112 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 36 and 112 is 4, so

LCM = (36 × 112) ÷ 4

LCM = 4032 ÷ 4

LCM = 1008

Finding LCM for 36 and 112 by Listing Multiples

The second method to find LCM for numbers 36 and 112 is to list out the common multiples for both numbers and pick the first one that matches:

Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792, 828, 864, 900, 936, 972, 1008, 1044, 1080

Multiples of 112: 112, 224, 336, 448, 560, 672, 784, 896, 1008, 1120, 1232

So the LCM for 36 and 112 is 1008

Finding LCM for 36 and 112 by Prime Factorization

Another method to find LCM for numbers 36 and 112 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

All Prime Factors of 36: 2, 2, 3, 3 (exponent form: 22, 32)

All Prime Factors of 112: 2, 2, 2, 2, 7 (exponent form: 24, 71)

24 × 32 × 71 = 1008

See Also

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What is the LCM of 36 and 112?. Find the LCM of 36 and 112 - the smallest common multiple of two integers.
https://calculat.io/en/number/least-common-multiple-lcm-of/36--112/generated.jpgCopy

LCM Table

Number 1Number 2LCM
21112336
221121232
231122576
24112336
251122800
261121456
271123024
28112112
291123248
301121680
311123472
32112224
331123696
341121904
35112560
361121008
371124144
381122128
391124368
40112560
411124592
42112336
431124816
441121232
451125040
461122576
471125264
48112336
49112784
501122800

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 36 and 112? (The answer is: 1008). Select the first number (e.g. '36') 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

Least Common Multiple of

and

FAQ

What's the Least Common Multiple (LCM) of 36 and 112?

LCM of 36 and 112 is 1,008

How to find the LCM of 36 and 112 using prime factorization?

To find the LCM of 36 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 36 and 112: LCM = 1,008, GCF = 4.

See Also