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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

    First common multiples: 1,260; 2,520; 3,780; …

    1,260 is divisible by both: 1,260 ÷ 315 = 4; 1,260 ÷ 180 = 7 — and 4 and 7 share no factor but 1, so no smaller number is. As a common denominator: multiply the top and bottom of x/315 by 4 and of y/180 by 7.

    315 = 32 × 5 × 7

    180 = 22 × 32 × 5

    Prime315180Highest power
    2—2222
    3323232
    5555
    77—7

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

    LCM = 22 × 32 × 5 × 7 = 1,260

    More with these numbers

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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

    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