Finding the Least Common Multiple: Exercises and Techniques

What is the least common multiple (LCM) of 36 and 12?

• 24

• 48

• 12

• 36

Which of the following is a multiple of both 36 and 12?

• 6

• 36

• 18

• 24

What is the prime factorization of 18?

• 2 x 3 x 3

• 3 x 6

• 2 x 9

• 2 x 2 x 3

What is the prime factorization of 12?

• 2 x 3 x 3

• 3 x 4

• 2 x 2 x 3

• 2 x 6

Which prime factors are needed to cover both 18 and 12?

• 2, 3, 3

• 2, 2, 3

• 2, 2, 3, 3

• 2, 3

What is the LCM of 18 and 12 when combining their prime factors?

• 18

• 48

• 24

• 36

What is the LCM of 18 and 12 by listing their multiples?

• 36

• 18

• 48

• 24

Which method is more systematic for finding the LCM of large numbers?

• Prime Factorization

• Brute Force

• Guess and Check

• Listing Multiples

Why might the prime factorization method be preferred for large numbers?

• It's faster

• It's easier

• It's more systematic

• It's more fun

What is a benefit of the brute force method?

• It's systematic

• It's easy for large numbers

• It's fun

• It's quick for small numbers