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    LCM for 225 and 315

    "Least Common Multiple" Calculator
    Least Common Multiple of
    and

    What's the Least Common Multiple (LCM) of 225 and 315?

    Answer

    LCM of 225 and 315 is
    1,575

    (One thousand five hundred seventy-five)

    Finding LCM for 225 and 315 using GCF of these numbers

    The first method to find LCM for numbers 225 and 315 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:

    LCM = (Number1 × Number2) ÷ GCF

    GCF of numbers 225 and 315 is 45, so

    LCM = (225 × 315) ÷ 45

    LCM = 70,875 ÷ 45

    LCM = 1,575

    Finding LCM for 225 and 315 by Listing Multiples

    The second method to find LCM for numbers 225 and 315 is to list out the common multiples for both numbers and pick the first one that matches:

    Multiples of 225: 225, 450, 675, 900, 1,125, 1,350, 1,575, 1,800, 2,025

    Multiples of 315: 315, 630, 945, 1,260, 1,575, 1,890, 2,205

    So the LCM for 225 and 315 is 1,575

    Finding LCM for 225 and 315 by Prime Factorization

    Another method to find LCM for numbers 225 and 315 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:

    All Prime Factors of 225: 3, 3, 5, 5 (exponent form: 32, 52)

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

    32 × 52 × 71 = 1,575

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    What is the LCM of 225 and 315?. The LCM of 225 and 315 is 1,575 — the smallest common multiple of both integers.
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    LCM Table

    Number 1Number 2LCM
    225300900
    22530167,725
    22530267,950
    22530322,725
    22530468,400
    22530513,725
    2253067,650
    22530769,075
    22530869,300
    22530923,175
    22531013,950
    22531169,975
    22531223,400
    22531370,425
    22531470,650
    2253151,575
    22531671,100
    22531771,325
    22531823,850
    22531971,775
    22532014,400
    22532124,075
    22532272,450
    22532372,675
    2253248,100
    2253252,925
    22532673,350
    22532724,525
    22532873,800
    22532974,025

    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 225 and 315? (The answer is: 1,575). Select the first number (e.g. '225') 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 225 and 315?

    LCM of 225 and 315 is 1,575

    How to find the LCM of 225 and 315 using prime factorization?

    To find the LCM of 225 and 315, find all prime factors of both numbers, then multiply the highest power of each prime factor. The result is 1,575.

    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 225 and 315: LCM = 1,575, GCF = 45.

    See Also