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    LCM for 72 and 96

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 72 and 96?

    Answer

    LCM of 72 and 96 is
    288

    (Two hundred eighty-eight)

    Finding LCM for 72 and 96 using GCF of these numbers

    The first method to find LCM for numbers 72 and 96 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 72 and 96 is 24, so

    LCM = (72 × 96) ÷ 24

    LCM = 6,912 ÷ 24

    LCM = 288

    Finding LCM for 72 and 96 by Listing Multiples

    The second method to find LCM for numbers 72 and 96 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 72: 72, 144, 216, 288, 360, 432

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

    So the LCM for 72 and 96 is 288

    Finding LCM for 72 and 96 by Prime Factorization

    Another method to find LCM for numbers 72 and 96 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 72: 2, 2, 2, 3, 3 (exponent form: 23, 32)

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

    25 × 32 = 288

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    What is the LCM of 72 and 96?. The LCM of 72 and 96 is 288 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    7281648
    72822,952
    72835,976
    7284504
    72856,120
    72863,096
    72872,088
    7288792
    72896,408
    7290360
    72916,552
    72921,656
    72932,232
    72943,384
    72956,840
    7296288
    72976,984
    72983,528
    7299792
    721001,800
    721017,272
    721021,224
    721037,416
    72104936
    721052,520
    721063,816
    721077,704
    72108216
    721097,848
    721103,960

    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 72 and 96? (The answer is: 288). Select the first number (e.g. '72') 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 72 and 96?

    LCM of 72 and 96 is 288

    How to find the LCM of 72 and 96 using prime factorization?

    To find the LCM of 72 and 96, 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 72 and 96: LCM = 288, GCF = 24.

    See Also