What is the least common multiple of 6 and 8?

Unlock all questions

This demo includes only 20 questions. Upgrade to access hundreds of questions, flashcards, exam simulations, and disable ads.

Full question bankExam simulationsFlashcards
From $24.99Unlock all

Prepare for the Navy SAGA Test. Master multiple choice questions, and access hints and detailed explanations. Ace your Navy exam!

Multiple Choice

What is the least common multiple of 6 and 8?

Explanation:
We’re looking for the smallest number that both 6 and 8 divide into evenly. A quick way is to use prime factorization: 6 = 2 × 3, 8 = 2^3. For the LCM, take each prime to the highest power it appears in either factorization: 2^3 and 3. Multiply them to get 8 × 3 = 24. This number is divisible by both 6 (24 ÷ 6 = 4) and 8 (24 ÷ 8 = 3), and there’s no smaller number with that property. For reference, 12 is a multiple of 6 but not of 8, 6 isn’t a multiple of 8, and 48 is a multiple of both but not the smallest since 24 already satisfies the condition. Another way to see it is using the formula LCM(a,b) = (a × b) / gcd(a,b): (6 × 8) / gcd(6,8) = 48 / 2 = 24.

We’re looking for the smallest number that both 6 and 8 divide into evenly. A quick way is to use prime factorization: 6 = 2 × 3, 8 = 2^3. For the LCM, take each prime to the highest power it appears in either factorization: 2^3 and 3. Multiply them to get 8 × 3 = 24. This number is divisible by both 6 (24 ÷ 6 = 4) and 8 (24 ÷ 8 = 3), and there’s no smaller number with that property.

For reference, 12 is a multiple of 6 but not of 8, 6 isn’t a multiple of 8, and 48 is a multiple of both but not the smallest since 24 already satisfies the condition. Another way to see it is using the formula LCM(a,b) = (a × b) / gcd(a,b): (6 × 8) / gcd(6,8) = 48 / 2 = 24.

More Multiple Choice Questions
Subscribe

Get the latest from Passetra

You can unsubscribe at any time. Read our privacy policy