Product relation between HCF and LCM: For the two integers 18 and 15, compute the product HCF × LCM.

Introduction / Context:For any two positive integers a and b, the fundamental identity holds: HCF(a, b) * LCM(a, b) = a * b. This allows quick computation of one product given the numbers themselves.

Given Data / Assumptions:

• a = 18, b = 15
• We want HCF * LCM for this pair.

Concept / Approach:Use the identity directly: the product of HCF and LCM equals the product of the two numbers. There is no need to compute HCF and LCM separately in this case.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 120, 150, 175 do not equal 18 * 15 and thus contradict the fundamental relation.

Common Pitfalls:

• Mistakenly adding HCF and LCM or computing them separately with errors.

Final Answer: