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    LCM for 40 and 315

    "Least Common Multiple" Calculator

    Least Common Multiple of

    and

    What's the Least Common Multiple (LCM) of 40 and 315?

    Answer

    LCM of 40 and 315 is
    2,520

    (Two thousand five hundred twenty)

    Finding LCM for 40 and 315 using GCF of these numbers

    The first method to find LCM for numbers 40 and 315 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 40 and 315 is 5, so

    LCM = (40 × 315) ÷ 5

    LCM = 12600 ÷ 5

    LCM = 2520

    Finding LCM for 40 and 315 by Listing Multiples

    The second method to find LCM for numbers 40 and 315 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360, 400, 440, 480, 520, 560, 600, 640, 680, 720, 760, 800, 840, 880, 920, 960, 1000, 1040, 1080, 1120, 1160, 1200, 1240, 1280, 1320, 1360, 1400, 1440, 1480, 1520, 1560, 1600, 1640, 1680, 1720, 1760, 1800, 1840, 1880, 1920, 1960, 2000, 2040, 2080, 2120, 2160, 2200, 2240, 2280, 2320, 2360, 2400, 2440, 2480, 2520, 2560, 2600

    Multiples of 315: 315, 630, 945, 1260, 1575, 1890, 2205, 2520, 2835, 3150

    So the LCM for 40 and 315 is 2520

    Finding LCM for 40 and 315 by Prime Factorization

    Another method to find LCM for numbers 40 and 315 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 40: 2, 2, 2, 5 (exponent form: 23, 51)

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

    23 × 51 × 32 × 71 = 2520

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    What is the LCM of 40 and 315?. The LCM of 40 and 315 is 2520 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    40115920
    40120120
    401251000
    40150600
    401551240
    40160160
    40180360
    401951560
    40220440
    402251800
    40230920
    402501000
    402552040
    40260520
    402652120
    402901160
    402952360
    40300600
    403152520
    40320320
    403301320
    403552840
    403701480
    403753000
    40380760
    403953160
    404153320
    40460920
    404653720
    40480480

    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 40 and 315? (The answer is: 2520). Select the first number (e.g. '40') 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 40 and 315?

    LCM of 40 and 315 is 2,520

    How to find the LCM of 40 and 315 using prime factorization?

    To find the LCM of 40 and 315, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 2,520.

    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 40 and 315: LCM = 2,520, GCF = 5.

    See Also