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    LCM for 36 and 52

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 36 and 52?

    Answer

    LCM of 36 and 52 is
    468

    (Four hundred sixty-eight)

    Finding LCM for 36 and 52 using GCF of these numbers

    The first method to find LCM for numbers 36 and 52 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 36 and 52 is 4, so

    LCM = (36 × 52) ÷ 4

    LCM = 1872 ÷ 4

    LCM = 468

    Finding LCM for 36 and 52 by Listing Multiples

    The second method to find LCM for numbers 36 and 52 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 36: 36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540

    Multiples of 52: 52, 104, 156, 208, 260, 312, 364, 416, 468, 520, 572

    So the LCM for 36 and 52 is 468

    Finding LCM for 36 and 52 by Prime Factorization

    Another method to find LCM for numbers 36 and 52 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

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

    All Prime Factors of 52: 2, 2, 13 (exponent form: 22, 131)

    22 × 32 × 131 = 468

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    What is the LCM of 36 and 52?. The LCM of 36 and 52 is 468 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    36336
    361836
    362472
    3627108
    3628252
    3640360
    3642252
    36431548
    3644396
    3645180
    3646828
    3648144
    36491764
    3651612
    3652468
    36531908
    3654108
    3656504
    36581044
    3660180
    3684252
    361121008
    36120360
    36144144

    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 36 and 52? (The answer is: 468). Select the first number (e.g. '36') and the second number (e.g. '52'). 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 36 and 52?

    LCM of 36 and 52 is 468

    How to find the LCM of 36 and 52 using prime factorization?

    To find the LCM of 36 and 52, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 468.

    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 36 and 52: LCM = 468, GCF = 4.

    See Also