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    LCM for 96 and 36

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 96 and 36?

    Answer

    LCM of 96 and 36 is
    288

    (Two hundred eighty-eight)

    Finding LCM for 96 and 36 using GCF of these numbers

    The first method to find LCM for numbers 96 and 36 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 96 and 36 is 12, so

    LCM = (96 × 36) ÷ 12

    LCM = 3456 ÷ 12

    LCM = 288

    Finding LCM for 96 and 36 by Listing Multiples

    The second method to find LCM for numbers 96 and 36 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 96: 96, 192, 288, 384, 480

    Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360

    So the LCM for 96 and 36 is 288

    Finding LCM for 96 and 36 by Prime Factorization

    Another method to find LCM for numbers 96 and 36 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

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

    25 × 32 = 288

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    See Also

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    What is the LCM of 96 and 36?. The LCM of 96 and 36 is 288 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    9621672
    96221056
    96232208
    962496
    96252400
    96261248
    9627864
    9628672
    96292784
    9630480
    96312976
    963296
    96331056
    96341632
    96353360
    9636288
    96373552
    96381824
    96391248
    9640480
    96413936
    9642672
    96434128
    96441056
    96451440
    96462208
    96474512
    964896
    96494704
    96502400

    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 96 and 36? (The answer is: 288). Select the first number (e.g. '96') and the second number (e.g. '36'). 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 96 and 36?

    LCM of 96 and 36 is 288

    How to find the LCM of 96 and 36 using prime factorization?

    To find the LCM of 96 and 36, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 288.

    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 96 and 36: LCM = 288, GCF = 12.

    See Also