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    LCM for 18, 21 and 36

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

    What's the Least Common Multiple (LCM) of 18, 21 and 36?

    Answer

    LCM of 18, 21 and 36 is
    252

    First common multiples: 252, 504, 756, …

    252 is divisible by all three: 252 ÷ 18 = 14, 252 ÷ 21 = 12, 252 ÷ 36 = 7 — and 14, 12 and 7 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 14 and of y/21 by 12 and of z/36 by 7.

    18 = 2 × 32

    21 = 3 × 7

    36 = 22 × 32

    Prime182136Highest power
    22—2222
    33233232
    7—7—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 × 7 = 252

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--21--36Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/18--21--36">What is the LCM of 18, 21 and 36? - Calculatio</a>Copy
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    What is the LCM of 18, 21 and 36? The LCM of 18, 21 and 36 is 252 — 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--21--36/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    182121126
    1821221,386
    1821232,898
    182124504
    1821253,150
    1821261,638
    182127378
    182128252
    1821293,654
    182130630
    1821313,906
    1821322,016
    1821331,386
    1821342,142
    182135630
    182136252
    1821374,662
    1821382,394
    1821391,638
    1821402,520
    1821415,166
    182142126
    1821435,418
    1821442,772
    182145630
    1821462,898
    1821475,922
    1821481,008
    182149882
    1821503,150

    FAQ

    What's the Least Common Multiple (LCM) of 18, 21 and 36?

    LCM of 18, 21 and 36 is 252

    How to find the LCM of 18, 21 and 36 by prime factorization?

    Take every prime that appears in 18, 21 and 36 to the highest power it reaches in any one of them and multiply: 2² × 3² × 7 = 252.

    Can you get the LCM of 18, 21 and 36 two numbers at a time?

    Yes. The LCM of 18 and 21 is 126, and the LCM of 126 and 36 is 252 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 252 divisible by 18, 21 and 36?

    Yes, and by definition it is the smallest positive integer that is: 252 ÷ 18, 252 ÷ 21 and 252 ÷ 36 all come out whole. Any other common multiple of 18, 21 and 36 is a multiple of 252.

    See Also