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20 November, 14:49

What is the least common multiple (LCM) of 6 and 8?

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  1. 20 November, 17:15
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    Answer: 24

    Step-by-step explanation: To find the Least Common Multiple or (LCM) of 6 and 8, begin by listing the first few multiple of each number.

    Multiples of 6

    1 * 6 = 6

    2 * 6 = 12

    3 * 6 = 18

    4 * 6 = 24

    Notice that we skipped 0 * 6 in our list of multiples.

    That's because 0 * 6 is 0 and our

    least common multiple can't be 0.

    When listing the multiples of 8 it's a good idea

    to keep an eye on the list of multiples for 6 so

    that we'll notice when we find a least common multiple.

    Multiples of 8

    1 * 8 = 8 ← isn't a multiple of 6

    2 * 8 = 16 ← isn't a multiple of 6

    3 * 8 = 24 ← is a multiple of 6

    We can stop here because all other multiples

    that we find will be greater than 24.

    So the Least Common Multiple or (LCM) of 6 and 8 is 24.
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