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    LCM for 56 and 72

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 56 and 72?

    Answer

    LCM of 56 and 72 is
    504

    (Five hundred four)

    Finding LCM for 56 and 72 using GCF of these numbers

    The first method to find LCM for numbers 56 and 72 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 56 and 72 is 8, so

    LCM = (56 × 72) ÷ 8

    LCM = 4,032 ÷ 8

    LCM = 504

    Finding LCM for 56 and 72 by Listing Multiples

    The second method to find LCM for numbers 56 and 72 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616

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

    So the LCM for 56 and 72 is 504

    Finding LCM for 56 and 72 by Prime Factorization

    Another method to find LCM for numbers 56 and 72 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 56: 2, 2, 2, 7 (exponent form: 23, 71)

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

    23 × 71 × 32 = 504

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    What is the LCM of 56 and 72?. The LCM of 56 and 72 is 504 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    56573,192
    56581,624
    56593,304
    5660840
    56613,416
    56621,736
    5663504
    5664448
    56653,640
    56661,848
    56673,752
    5668952
    56693,864
    5670280
    56713,976
    5672504
    56734,088
    56742,072
    56754,200
    56761,064
    5677616
    56782,184
    56794,424
    5680560
    56814,536
    56822,296
    56834,648
    5684168
    56854,760
    56862,408

    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 56 and 72? (The answer is: 504). Select the first number (e.g. '56') 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 56 and 72?

    LCM of 56 and 72 is 504

    How to find the LCM of 56 and 72 using prime factorization?

    To find the LCM of 56 and 72, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 504.

    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 56 and 72: LCM = 504, GCF = 8.

    See Also