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HCF and LCM Relationship

publish date: 2026/05/23 05:02:19.770899 UTC

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The product of two natural numbers equals:

Their H.C.F. added to their L.C.M.

Their H.C.F. multiplied by their L.C.M.

Their L.C.M. divided by their H.C.F.

Twice their H.C.F.

Correct Answer

Their H.C.F. multiplied by their L.C.M.

Explanation

For any two natural numbers, the fundamental relationship is: \(\text{Product of two numbers} = \text{H.C.F.} \times \text{L.C.M.}\). This relationship is used to find one of these values when the other is known.

Reference

Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012

Quizzes you can take where this question appears

Properties and Theory of Integers