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    LCM for 64 and 72

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 64 and 72?

    Answer

    LCM of 64 and 72 is
    576

    (Five hundred seventy-six)

    Finding LCM for 64 and 72 using GCF of these numbers

    The first method to find LCM for numbers 64 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 64 and 72 is 8, so

    LCM = (64 × 72) ÷ 8

    LCM = 4,608 ÷ 8

    LCM = 576

    Finding LCM for 64 and 72 by Listing Multiples

    The second method to find LCM for numbers 64 and 72 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 64: 64, 128, 192, 256, 320, 384, 448, 512, 576, 640, 704

    Multiples of 72: 72, 144, 216, 288, 360, 432, 504, 576, 648, 720

    So the LCM for 64 and 72 is 576

    Finding LCM for 64 and 72 by Prime Factorization

    Another method to find LCM for numbers 64 and 72 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 64: 2, 2, 2, 2, 2, 2 (exponent form: 26)

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

    26 × 32 = 576

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    What is the LCM of 64 and 72?. The LCM of 64 and 72 is 576 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    64573,648
    64581,856
    64593,776
    6460960
    64613,904
    64621,984
    64634,032
    646464
    64654,160
    64662,112
    64674,288
    64681,088
    64694,416
    64702,240
    64714,544
    6472576
    64734,672
    64742,368
    64754,800
    64761,216
    64774,928
    64782,496
    64795,056
    6480320
    64815,184
    64822,624
    64835,312
    64841,344
    64855,440
    64862,752

    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 64 and 72? (The answer is: 576). Select the first number (e.g. '64') 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 64 and 72?

    LCM of 64 and 72 is 576

    How to find the LCM of 64 and 72 using prime factorization?

    To find the LCM of 64 and 72, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 576.

    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 64 and 72: LCM = 576, GCF = 8.

    See Also