LCM for 112 and 144

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What's the Least Common Multiple (LCM) of 112 and 144?

Answer

LCM of 112 and 144 is
1,008

(One thousand eight)

Finding LCM for 112 and 144 using GCF of these numbers

The first method to find LCM for numbers 112 and 144 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

LCM = (Number1 × Number2) ÷ GCF

GCF of numbers 112 and 144 is 16, so

LCM = (112 × 144) ÷ 16

LCM = 16,128 ÷ 16

LCM = 1,008

Finding LCM for 112 and 144 by Listing Multiples

The second method to find LCM for numbers 112 and 144 is to list out the common multiples for both numbers and pick the first one that matches:

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

Multiples of 144: 144, 288, 432, 576, 720, 864, 1,008, 1,152, 1,296

So the LCM for 112 and 144 is 1,008

Finding LCM for 112 and 144 by Prime Factorization

Another method to find LCM for numbers 112 and 144 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

All Prime Factors of 144: 2, 2, 2, 2, 3, 3 (exponent form: 24, 32)

24 × 71 × 32 = 1,008

See Also

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 112 and 144? (The answer is: 1,008). Select the first number (e.g. '112') and the second number (e.g. '144'). 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
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LCM Table

Number 1Number 2LCM
11212914,448
1121307,280
11213114,672
1121323,696
1121332,128
1121347,504
11213515,120
1121361,904
11213715,344
1121387,728
11213915,568
112140560
11214115,792
1121427,952
11214316,016
1121441,008
11214516,240
1121468,176
1121472,352
1121484,144
11214916,688
1121508,400
11215116,912
1121522,128
11215317,136
1121541,232
11215517,360
1121564,368
11215717,584
1121588,848

FAQ

What's the Least Common Multiple (LCM) of 112 and 144?

LCM of 112 and 144 is 1,008

How to find the LCM of 112 and 144 using prime factorization?

To find the LCM of 112 and 144, 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 112 and 144: LCM = 1,008, GCF = 16.

See Also