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    LCM for 112 and 144

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    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

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    What is the LCM of 112 and 144?. The LCM of 112 and 144 is 1,008 — the smallest common multiple of both integers.
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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

    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
    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    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