alleryFor any two positive integers $a$ and $b$, which identity is always true?
A$\operatorname{HCF}(a,b)+\operatorname{LCM}(a,b)=a+b$
B$\operatorname{HCF}(a,b)\times \operatorname{LCM}(a,b)=a\times b$
C$\operatorname{HCF}(a,b)=a\times b$
D$\operatorname{LCM}(a,b)=a+b$
Answer & Solution
Correct answer: B. $\operatorname{HCF}(a,b)\times \operatorname{LCM}(a,b)=a\times b$
For any two positive integers, the product of their HCF and LCM equals the product of the numbers themselves.
This relation is frequently used to find one when the other is known.
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