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    LCM for 12, 18 and 36

    "Least Common Multiple of 3 Numbers" Calculator
    Least Common Multiple of
    ,
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    What's the Least Common Multiple (LCM) of 12, 18 and 36?

    Answer

    LCM of 12, 18 and 36 is
    36

    First common multiples: 36, 72, 108, …

    36 is divisible by all three: 36 ÷ 12 = 3, 36 ÷ 18 = 2, 36 ÷ 36 = 1 — and 3, 2 and 1 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/12 by 3 and of y/18 by 2.

    12 = 22 × 3

    18 = 2 × 32

    36 = 22 × 32

    Prime121836Highest power
    22222222
    33323232

    LCM = 22 × 32 = 36

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--18--36Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--18--36">What is the LCM of 12, 18 and 36? - Calculatio</a>Copy
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    What is the LCM of 12, 18 and 36? The LCM of 12, 18 and 36 is 36 — 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/12--18--36/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    121821252
    121822396
    121823828
    12182472
    121825900
    121826468
    121827108
    121828252
    1218291,044
    121830180
    1218311,116
    121832288
    121833396
    121834612
    1218351,260
    12183636
    1218371,332
    121838684
    121839468
    121840360
    1218411,476
    121842252
    1218431,548
    121844396
    121845180
    121846828
    1218471,692
    121848144
    1218491,764
    121850900

    FAQ

    What's the Least Common Multiple (LCM) of 12, 18 and 36?

    LCM of 12, 18 and 36 is 36

    How to find the LCM of 12, 18 and 36 by prime factorization?

    Take every prime that appears in 12, 18 and 36 to the highest power it reaches in any one of them and multiply: 2² × 3² = 36.

    Can you get the LCM of 12, 18 and 36 two numbers at a time?

    Yes. The LCM of 12 and 18 is 36, and the LCM of 36 and 36 is 36 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 36 divisible by 12, 18 and 36?

    Yes, and by definition it is the smallest positive integer that is: 36 ÷ 12, 36 ÷ 18 and 36 ÷ 36 all come out whole. Any other common multiple of 12, 18 and 36 is a multiple of 36.

    See Also