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    LCM for 32 and 72

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 32 and 72?

    Answer

    LCM of 32 and 72 is
    288

    (Two hundred eighty-eight)

    Finding LCM for 32 and 72 using GCF of these numbers

    The first method to find LCM for numbers 32 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 32 and 72 is 8, so

    LCM = (32 × 72) ÷ 8

    LCM = 2,304 ÷ 8

    LCM = 288

    Finding LCM for 32 and 72 by Listing Multiples

    The second method to find LCM for numbers 32 and 72 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 32: 32, 64, 96, 128, 160, 192, 224, 256, 288, 320, 352

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

    So the LCM for 32 and 72 is 288

    Finding LCM for 32 and 72 by Prime Factorization

    Another method to find LCM for numbers 32 and 72 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 32: 2, 2, 2, 2, 2 (exponent form: 25)

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

    25 × 32 = 288

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    What is the LCM of 32 and 72?. The LCM of 32 and 72 is 288 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    32331,056
    3236288
    32371,184
    3238608
    32391,248
    3240160
    3242672
    32451,440
    32471,504
    324896
    32491,568
    32531,696
    3254864
    3256224
    3258928
    32591,888
    3260480
    3272288
    3280160
    32901,440
    329696
    32128128
    32176352

    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 32 and 72? (The answer is: 288). Select the first number (e.g. '32') and the second number (e.g. '72'). 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 32 and 72?

    LCM of 32 and 72 is 288

    How to find the LCM of 32 and 72 using prime factorization?

    To find the LCM of 32 and 72, 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 32 and 72: LCM = 288, GCF = 8.

    See Also