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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 = 56,700 ÷ 45

    LCM = 1,260

    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 1,260

    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 = 1,260

    Related Calculations

    See Also

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    What is the LCM of 315 and 180?. The LCM of 315 and 180 is 1,260 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    3151653,465
    31516652,290
    31516752,605
    3151682,520
    31516953,235
    31517010,710
    3151715,985
    31517254,180
    31517354,495
    31517418,270
    3151751,575
    31517655,440
    31517718,585
    31517856,070
    31517956,385
    3151801,260
    31518157,015
    3151828,190
    31518319,215
    31518457,960
    31518511,655
    31518619,530
    31518758,905
    31518859,220
    315189945
    31519011,970
    31519160,165
    31519220,160
    31519360,795
    31519461,110

    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: 1,260). 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