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HCF and LCM Relationship

HCF and LCM Relationship

Use prime factorisation and number identities to solve HCF-LCM questions quickly.

  • 2 min read
  • Aligned to CBSE 2025–26 syllabus
  • 100% free · no login
  • Updated Sept 2026
Chapter roadmap

Use this map for a first read, then return to the checks and formulas during revision.

  1. 1.Key Relationship
  • 1 key formulas

Key Relationship

For any two positive integers, the product of HCF and LCM equals the product of the numbers.

This works best when both numbers are known or when one number and the HCF-LCM pair are given.

HCF(a,b)×LCM(a,b)=a×bHCF(a,b) \times LCM(a,b) = a \times b

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Topic Q&A

Can HCF ever be greater than LCM?

No. HCF is always less than or equal to LCM for positive integers.

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