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    LCM for 60 and 315

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 60 and 315?

    Answer

    LCM of 60 and 315 is
    1,260

    (One thousand two hundred sixty)

    Finding LCM for 60 and 315 using GCF of these numbers

    The first method to find LCM for numbers 60 and 315 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 60 and 315 is 15, so

    LCM = (60 × 315) ÷ 15

    LCM = 18,900 ÷ 15

    LCM = 1,260

    Finding LCM for 60 and 315 by Listing Multiples

    The second method to find LCM for numbers 60 and 315 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, 600, 660, 720, 780, 840, 900, 960, 1,020, 1,080, 1,140, 1,200, 1,260, 1,320, 1,380

    Multiples of 315: 315, 630, 945, 1,260, 1,575, 1,890

    So the LCM for 60 and 315 is 1,260

    Finding LCM for 60 and 315 by Prime Factorization

    Another method to find LCM for numbers 60 and 315 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 60: 2, 2, 3, 5 (exponent form: 22, 31, 51)

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

    22 × 32 × 51 × 71 = 1,260

    See Also

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    What is the LCM of 60 and 315?. The LCM of 60 and 315 is 1,260 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    601752,100
    601852,220
    601901,140
    60210420
    602152,580
    60220660
    602352,820
    60240240
    602452,940
    602501,500
    60260780
    602753,300
    60280840
    602901,740
    602953,540
    603151,260
    60320960
    60330660
    603401,020
    603451,380
    60360360
    603654,380
    603702,220
    60390780
    604001,200
    604102,460
    604154,980
    604302,580
    604351,740
    604455,340

    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 60 and 315? (The answer is: 1,260). Select the first number (e.g. '60') and the second number (e.g. '315'). 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 60 and 315?

    LCM of 60 and 315 is 1,260

    How to find the LCM of 60 and 315 using prime factorization?

    To find the LCM of 60 and 315, 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 60 and 315: LCM = 1,260, GCF = 15.

    See Also