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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

    First common multiples: 1,575; 3,150; 4,725; …

    1,575 is divisible by both: 1,575 ÷ 225 = 7; 1,575 ÷ 315 = 5 — and 7 and 5 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/225 by 7 and of y/315 by 5.

    225 = 32 × 52

    315 = 32 × 5 × 7

    Prime225315Highest power
    3323232
    552552
    7—77

    — = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

    LCM = 32 × 52 × 7 = 1,575

    More with these numbers

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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

    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