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    LCM for 18, 20 and 36

    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
    and

    What's the Least Common Multiple (LCM) of 18, 20 and 36?

    Answer

    LCM of 18, 20 and 36 is
    180

    First common multiples: 180, 360, 540, …

    180 is divisible by all three: 180 ÷ 18 = 10, 180 ÷ 20 = 9, 180 ÷ 36 = 5 — and 10, 9 and 5 have no factor but 1 common to all of them, so no smaller number is. As a common denominator: multiply the top and bottom of x/18 by 10 and of y/20 by 9 and of z/36 by 5.

    18 = 2 × 32

    20 = 22 × 5

    36 = 22 × 32

    Prime182036Highest power
    22222222
    332—3232
    5—5—5

    — = 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 = 180

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--20--36Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--20--36">What is the LCM of 18, 20 and 36? - Calculatio</a>Copy
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    What is the LCM of 18, 20 and 36? The LCM of 18, 20 and 36 is 180 — the smallest number all three divide with no remainder. Step-by-step solution for three numbers.
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--20--36/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    1820211,260
    1820221,980
    1820234,140
    182024360
    182025900
    1820262,340
    182027540
    1820281,260
    1820295,220
    182030180
    1820315,580
    1820321,440
    1820331,980
    1820343,060
    1820351,260
    182036180
    1820376,660
    1820383,420
    1820392,340
    182040360
    1820417,380
    1820421,260
    1820437,740
    1820441,980
    182045180
    1820464,140
    1820478,460
    182048720
    1820498,820
    182050900

    FAQ

    What's the Least Common Multiple (LCM) of 18, 20 and 36?

    LCM of 18, 20 and 36 is 180

    How to find the LCM of 18, 20 and 36 by prime factorization?

    Take every prime that appears in 18, 20 and 36 to the highest power it reaches in any one of them and multiply: 2² × 3² × 5 = 180.

    Can you get the LCM of 18, 20 and 36 two numbers at a time?

    Yes. The LCM of 18 and 20 is 180, and the LCM of 180 and 36 is 180 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 180 divisible by 18, 20 and 36?

    Yes, and by definition it is the smallest positive integer that is: 180 ÷ 18, 180 ÷ 20 and 180 ÷ 36 all come out whole. Any other common multiple of 18, 20 and 36 is a multiple of 180.

    See Also