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    LCM for 12, 18 and 24

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

    What's the Least Common Multiple (LCM) of 12, 18 and 24?

    Answer

    LCM of 12, 18 and 24 is
    72

    First common multiples: 72, 144, 216, …

    72 is divisible by all three: 72 ÷ 12 = 6, 72 ÷ 18 = 4, 72 ÷ 24 = 3 — and 6, 4 and 3 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 6 and of y/18 by 4 and of z/24 by 3.

    12 = 22 × 3

    18 = 2 × 32

    24 = 23 × 3

    Prime121824Highest power
    22222323
    3332332

    LCM = 23 × 32 = 72

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--18--24Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--18--24">What is the LCM of 12, 18 and 24? - Calculatio</a>Copy
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    What is the LCM of 12, 18 and 24? The LCM of 12, 18 and 24 is 72 — 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--24/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    9121836
    101218180
    111218396
    12121836
    121318468
    121418252
    121518180
    121618144
    121718612
    12181836
    121819684
    121820180
    121821252
    121822396
    121823828
    12182472
    121825900
    121826468
    121827108
    121828252
    1218291,044
    121830180
    1218311,116
    121832288
    121833396
    121834612
    1218351,260
    12183636
    1218371,332
    121838684

    FAQ

    What's the Least Common Multiple (LCM) of 12, 18 and 24?

    LCM of 12, 18 and 24 is 72

    How to find the LCM of 12, 18 and 24 by prime factorization?

    Take every prime that appears in 12, 18 and 24 to the highest power it reaches in any one of them and multiply: 2³ × 3² = 72.

    Can you get the LCM of 12, 18 and 24 two numbers at a time?

    Yes. The LCM of 12 and 18 is 36, and the LCM of 36 and 24 is 72 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 72 divisible by 12, 18 and 24?

    Yes, and by definition it is the smallest positive integer that is: 72 ÷ 12, 72 ÷ 18 and 72 ÷ 24 all come out whole. Any other common multiple of 12, 18 and 24 is a multiple of 72.

    See Also