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HCF and LCM Relationship

HCF and LCM Relationship

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

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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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