Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    LCM for 12, 24 and 36

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

    What's the Least Common Multiple (LCM) of 12, 24 and 36?

    Answer

    LCM of 12, 24 and 36 is
    72

    First common multiples: 72, 144, 216, …

    72 is divisible by all three: 72 ÷ 12 = 6, 72 ÷ 24 = 3, 72 ÷ 36 = 2 — and 6, 3 and 2 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/24 by 3 and of z/36 by 2.

    12 = 22 × 3

    24 = 23 × 3

    36 = 22 × 32

    Prime122436Highest power
    222232223
    3333232

    LCM = 23 × 32 = 72

    More with these numbers

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--24--36Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/12--24--36">What is the LCM of 12, 24 and 36? - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the LCM of 12, 24 and 36? The LCM of 12, 24 and 36 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--24--36/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    122124168
    122224264
    122324552
    12242424
    122425600
    122426312
    122427216
    122428168
    122429696
    122430120
    122431744
    12243296
    122433264
    122434408
    122435840
    12243672
    122437888
    122438456
    122439312
    122440120
    122441984
    122442168
    1224431,032
    122444264
    122445360
    122446552
    1224471,128
    12244848
    1224491,176
    122450600

    FAQ

    What's the Least Common Multiple (LCM) of 12, 24 and 36?

    LCM of 12, 24 and 36 is 72

    How to find the LCM of 12, 24 and 36 by prime factorization?

    Take every prime that appears in 12, 24 and 36 to the highest power it reaches in any one of them and multiply: 2³ × 3² = 72.

    Can you get the LCM of 12, 24 and 36 two numbers at a time?

    Yes. The LCM of 12 and 24 is 24, and the LCM of 24 and 36 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, 24 and 36?

    Yes, and by definition it is the smallest positive integer that is: 72 ÷ 12, 72 ÷ 24 and 72 ÷ 36 all come out whole. Any other common multiple of 12, 24 and 36 is a multiple of 72.

    See Also