Question
Download Solution PDFWhat is the smallest positive integer that is divisible by both 12 and 16?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
What is the smallest positive integer that is divisible by both 12 and 16?
Formula used:
To find the smallest positive integer divisible by both numbers, we use the Least Common Multiple (LCM).
Calculation:
Prime factorization of 12: 12 = 22 × 3
Prime factorization of 16: 16 = 24
LCM = Highest power of all prime factors
⇒ LCM = 24 × 3
⇒ LCM = 16 × 3
⇒ LCM = 48
∴ The correct answer is 48.
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