Resolved: "Find the least common multiple of 16 and..."

Lucille Davidson

Answered question

2021-12-11

Find the least common multiple of 16 and 24.

Tiefdruckot

Beginner2021-12-12Added 46 answers

The lowest common is 48.
As the prime factorization of 16 is:

16 = 2 \times 2 \times 2 \times 2 = 2^{4}

The prime factorization of 24 is:

24 = 2 \times 2 \times 2 \times 3 = 2^{3} \times 3

So, both of them have

2^{3}

in common, and we can leave

2^{4}

and 3. There are no more numbers in common, so we have

2^{4} \times 3 = 48

, which is the least common multiple.

Heather Fulton

Beginner2021-12-13Added 31 answers

Think of 16 as

\frac{16}{24} = \frac{2}{3}

of 24. And it's not a whole number, and

\frac{2}{3} + \frac{2}{3} = \frac{4}{3}

also isn't a whole number.

\frac{2}{3} + \frac{2}{3} + \frac{2}{3} = \frac{6}{3}

is the whole number of 2, so we have:

2 \times 24 = 48

, and 48 is the least common multiple.

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