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    LCM for 36 and 60

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 36 and 60?

    Answer

    LCM of 36 and 60 is
    180

    (One hundred eighty)

    Finding LCM for 36 and 60 using GCF of these numbers

    The first method to find LCM for numbers 36 and 60 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 36 and 60 is 12, so

    LCM = (36 × 60) ÷ 12

    LCM = 2160 ÷ 12

    LCM = 180

    Finding LCM for 36 and 60 by Listing Multiples

    The second method to find LCM for numbers 36 and 60 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

    Multiples of 60: 60, 120, 180, 240, 300

    So the LCM for 36 and 60 is 180

    Finding LCM for 36 and 60 by Prime Factorization

    Another method to find LCM for numbers 36 and 60 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 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

    22 × 32 × 51 = 180

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    What is the LCM of 36 and 60?. The LCM of 36 and 60 is 180 — 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 60? (The answer is: 180). Select the first number (e.g. '36') and the second number (e.g. '60'). 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 60?

    LCM of 36 and 60 is 180

    How to find the LCM of 36 and 60 using prime factorization?

    To find the LCM of 36 and 60, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 180.

    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 60: LCM = 180, GCF = 12.

    See Also