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    LCM for 14, 21 and 28

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

    What's the Least Common Multiple (LCM) of 14, 21 and 28?

    Answer

    LCM of 14, 21 and 28 is
    84

    First common multiples: 84, 168, 252, …

    84 is divisible by all three: 84 ÷ 14 = 6, 84 ÷ 21 = 4, 84 ÷ 28 = 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/14 by 6 and of y/21 by 4 and of z/28 by 3.

    14 = 2 × 7

    21 = 3 × 7

    28 = 22 × 7

    Prime142128Highest power
    22—2222
    3—3—3
    77777

    — = power 0: the prime is not a factor of this number; the LCM takes it from the number that has it.

    LCM = 22 × 3 × 7 = 84

    More with these numbers

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/14--21--28Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/14--21--28">What is the LCM of 14, 21 and 28? - Calculatio</a>Copy
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    What is the LCM of 14, 21 and 28? The LCM of 14, 21 and 28 is 84 — 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/14--21--28/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    131421546
    14142142
    141521210
    141621336
    141721714
    141821126
    141921798
    142021420
    14212142
    142122462
    142123966
    142124168
    1421251,050
    142126546
    142127378
    14212884
    1421291,218
    142130210
    1421311,302
    142132672
    142133462
    142134714
    142135210
    142136252
    1421371,554
    142138798
    142139546
    142140840
    1421411,722
    14214242

    FAQ

    What's the Least Common Multiple (LCM) of 14, 21 and 28?

    LCM of 14, 21 and 28 is 84

    How to find the LCM of 14, 21 and 28 by prime factorization?

    Take every prime that appears in 14, 21 and 28 to the highest power it reaches in any one of them and multiply: 2² × 3 × 7 = 84.

    Can you get the LCM of 14, 21 and 28 two numbers at a time?

    Yes. The LCM of 14 and 21 is 42, and the LCM of 42 and 28 is 84 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 84 divisible by 14, 21 and 28?

    Yes, and by definition it is the smallest positive integer that is: 84 ÷ 14, 84 ÷ 21 and 84 ÷ 28 all come out whole. Any other common multiple of 14, 21 and 28 is a multiple of 84.

    See Also