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    LCM for 2, 8 and 13

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

    What's the Least Common Multiple (LCM) of 2, 8 and 13?

    Answer

    LCM of 2, 8 and 13 is
    104

    First common multiples: 104, 208, 312, …

    104 is divisible by all three: 104 ÷ 2 = 52, 104 ÷ 8 = 13, 104 ÷ 13 = 8 — and 52, 13 and 8 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/2 by 52 and of y/8 by 13 and of z/13 by 8.

    2 — prime

    8 = 23

    13 — prime

    Prime2813Highest power
    2223—23
    13——1313

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

    LCM = 23 × 13 = 104

    See Also

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    https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/2--8--13Copy
    <a href="https://calculat.io/en/number/least-common-multiple-lcm-of-3-numbers/2--8--13">What is the LCM of 2, 8 and 13? - Calculatio</a>Copy
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    What is the LCM of 2, 8 and 13? The LCM of 2, 8 and 13 is 104 — 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/2--8--13/generated.jpgCopy

    LCM Table

    1st2nd3rdLCM
    1288
    2288
    23824
    2488
    25840
    26824
    27856
    2888
    28972
    281040
    281188
    281224
    2813104
    281456
    2815120
    281616
    2817136
    281872
    2819152
    282040
    2821168
    282288
    2823184
    282424
    2825200
    2826104
    2827216
    282856
    2829232
    2830120

    FAQ

    What's the Least Common Multiple (LCM) of 2, 8 and 13?

    LCM of 2, 8 and 13 is 104

    How to find the LCM of 2, 8 and 13 by prime factorization?

    Take every prime that appears in 2, 8 and 13 to the highest power it reaches in any one of them and multiply: 2³ × 13 = 104.

    Can you get the LCM of 2, 8 and 13 two numbers at a time?

    Yes. The LCM of 2 and 8 is 8, and the LCM of 8 and 13 is 104 — the same answer, because the least common multiple is associative and does not depend on the order of the three numbers.

    Is 104 divisible by 2, 8 and 13?

    Yes, and by definition it is the smallest positive integer that is: 104 ÷ 2, 104 ÷ 8 and 104 ÷ 13 all come out whole. Any other common multiple of 2, 8 and 13 is a multiple of 104.