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    LCM for 108 and 96

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 108 and 96?

    Answer

    LCM of 108 and 96 is
    864

    (Eight hundred sixty-four)

    Finding LCM for 108 and 96 using GCF of these numbers

    The first method to find LCM for numbers 108 and 96 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 108 and 96 is 12, so

    LCM = (108 × 96) ÷ 12

    LCM = 10,368 ÷ 12

    LCM = 864

    Finding LCM for 108 and 96 by Listing Multiples

    The second method to find LCM for numbers 108 and 96 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 108: 108, 216, 324, 432, 540, 648, 756, 864, 972, 1,080

    Multiples of 96: 96, 192, 288, 384, 480, 576, 672, 768, 864, 960, 1,056

    So the LCM for 108 and 96 is 864

    Finding LCM for 108 and 96 by Prime Factorization

    Another method to find LCM for numbers 108 and 96 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 108: 2, 2, 3, 3, 3 (exponent form: 22, 33)

    All Prime Factors of 96: 2, 2, 2, 2, 2, 3 (exponent form: 25, 31)

    25 × 33 = 864

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    What is the LCM of 108 and 96?. The LCM of 108 and 96 is 864 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    10881324
    108824,428
    108838,964
    10884756
    108859,180
    108864,644
    108873,132
    108882,376
    108899,612
    10890540
    108919,828
    108922,484
    108933,348
    108945,076
    1089510,260
    10896864
    1089710,476
    108985,292
    108991,188
    1081002,700
    10810110,908
    1081021,836
    10810311,124
    1081042,808
    1081053,780
    1081065,724
    10810711,556
    108108108
    10810911,772
    1081105,940

    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 108 and 96? (The answer is: 864). Select the first number (e.g. '108') and the second number (e.g. '96'). 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 108 and 96?

    LCM of 108 and 96 is 864

    How to find the LCM of 108 and 96 using prime factorization?

    To find the LCM of 108 and 96, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 864.

    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 108 and 96: LCM = 864, GCF = 12.

    See Also