The ratio of least common multiple and highest common factor of 16 and 36 is

Correct option is A

​$$\textbf{Solution:} \\[5pt]\text{Given numbers: } 16 \text{ and } 36 \\[5pt]\text{Prime factorization:} \\16 = 2^4 \\36 = 2^2 \times 3^2 \\[5pt]\text{LCM (Least Common Multiple): Take the highest powers of all primes} \\\text{LCM} = 2^4 \times 3^2 = 16 \times 9 = 144 \\[5pt]\text{HCF (Highest Common Factor): Take the lowest powers of common primes} \\\text{HCF} = 2^2 = 4 \\[5pt]\text{Ratio of LCM to HCF:} \\\frac{\text{LCM}}{\text{HCF}} = \frac{144}{4} = 36:1 \\[10pt]\boxed{\text{The correct answer is: (a) } 36:1}$$​​