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    LCM for 315 and 180

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 315 and 180?

    Answer

    LCM of 315 and 180 is
    1,260

    (One thousand two hundred sixty)

    Finding LCM for 315 and 180 using GCF of these numbers

    The first method to find LCM for numbers 315 and 180 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 315 and 180 is 45, so

    LCM = (315 × 180) ÷ 45

    LCM = 56700 ÷ 45

    LCM = 1260

    Finding LCM for 315 and 180 by Listing Multiples

    The second method to find LCM for numbers 315 and 180 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 315: 315, 630, 945, 1260, 1575, 1890

    Multiples of 180: 180, 360, 540, 720, 900, 1080, 1260, 1440, 1620

    So the LCM for 315 and 180 is 1260

    Finding LCM for 315 and 180 by Prime Factorization

    Another method to find LCM for numbers 315 and 180 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 315: 3, 3, 5, 7 (exponent form: 32, 51, 71)

    All Prime Factors of 180: 2, 2, 3, 3, 5 (exponent form: 22, 32, 51)

    32 × 51 × 71 × 22 = 1260

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    See Also

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    What is the LCM of 315 and 180?. The LCM of 315 and 180 is 1260 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    3151653465
    31516652290
    31516752605
    3151682520
    31516953235
    31517010710
    3151715985
    31517254180
    31517354495
    31517418270
    3151751575
    31517655440
    31517718585
    31517856070
    31517956385
    3151801260
    31518157015
    3151828190
    31518319215
    31518457960
    31518511655
    31518619530
    31518758905
    31518859220
    315189945
    31519011970
    31519160165
    31519220160
    31519360795
    31519461110

    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 315 and 180? (The answer is: 1260). Select the first number (e.g. '315') and the second number (e.g. '180'). 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 315 and 180?

    LCM of 315 and 180 is 1,260

    How to find the LCM of 315 and 180 using prime factorization?

    To find the LCM of 315 and 180, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,260.

    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 315 and 180: LCM = 1,260, GCF = 45.

    See Also