What is the least common multiple of 8 and 15?

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Multiple Choice

What is the least common multiple of 8 and 15?

Explanation:
Finding the least common multiple means finding the smallest number that can be divided evenly by both 8 and 15. Break each number into prime factors: 8 is 2^3, and 15 is 3 times 5. To get a number that’s divisible by both, you take each prime factor at its highest power that appears in either number. That gives 2^3, 3, and 5. Multiply them: 2^3 * 3 * 5 = 8 * 3 * 5 = 120. So 120 is divisible by both 8 and 15, and there isn’t a smaller common multiple. (For quick checks: 60 isn’t divisible by 8, 90 isn’t divisible by 8, and 240 is divisible by both but larger than 120.)

Finding the least common multiple means finding the smallest number that can be divided evenly by both 8 and 15. Break each number into prime factors: 8 is 2^3, and 15 is 3 times 5. To get a number that’s divisible by both, you take each prime factor at its highest power that appears in either number. That gives 2^3, 3, and 5. Multiply them: 2^3 * 3 * 5 = 8 * 3 * 5 = 120. So 120 is divisible by both 8 and 15, and there isn’t a smaller common multiple. (For quick checks: 60 isn’t divisible by 8, 90 isn’t divisible by 8, and 240 is divisible by both but larger than 120.)

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