Notes Ad
Sponsored Learning Banner

Ad placement reserved for chapter sponsors, education tools, test prep platforms, and student offers.

Home/
Notes/
Class 10/
Maths/
Real Numbers/
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 Aug 2026
Study Ad
Inline Chapter Banner

Reserved space for student-focused ads, learning tools, scholarships, and exam prep promotions.

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

Need more chapter practice?

Move to the chapter practice section to test this concept with board-style questions.

Go to Practice

Topic Q&A

Can HCF ever be greater than LCM?

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

Study Ad
End of Chapter Banner

Ad slot placed after the chapter body so reading flow is never interrupted.

Struggling with HCF and LCM Relationship?
Book a free 1:1 demo with a Maths tutor and get chapter-wise help that matches your pace.
Book a Free Demo
Notes Ad
End of Notes Banner

This inventory appears across Class 9 and Class 10 notes so ads remain visible throughout the study journey.