Question

Difficulty: EasyFactors, Multiples, and Primes

What is the smallest positive integer that is a multiple of both $8$ and $12$ ?

Answer: 24

The smallest positive integer that is a multiple of both

8

and

12

is their least common multiple (LCM). The multiples of

8

are

8, 16, 24, 32, \dots

and the multiples of

12

are

12, 24, 36, \dots

. The smallest number that appears in both lists is

24

Find the positive multiples of

8

8, 16, 24, 32, 40, \dots

We need to determine a number that is a multiple of

8

Find the positive multiples of

12

12, 24, 36, 48, \dots

We need the number to also be a multiple of

12

Identify the smallest common multiple from both lists.

24

The question asks for the smallest positive integer that is a multiple of both numbers.

Least Common Multiple (LCM)

Estimated Time:45s

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