The product of the greatest common divisor (G | vedclass

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Question

(B) For any two positive integers $a$ and $b$,the fundamental theorem of arithmetic establishes a relationship between their $G$.$C$.$D$. and $L$.$C$.

Vedclass · Accepted Answer

$ab$

Vedclass · Answer

(B) For any two positive integers $a$ and $b$,the fundamental theorem of arithmetic establishes a relationship between their $G$.$C$.$D$. and $L$.$C$.$M$.Specifically,the product of the $G$.$C$.$D$. $(a, b)$ and the $L$.$C$.$M$. $(a, b)$ is equal to the product of the two numbers themselves.Therefore,$	ext{G.C.D.}(a, b) 	imes 	ext{L.C.M.}(a, b) = a 	imes b = ab$.

The product of the greatest common divisor ($G$.$C$.$D$.) and the least common multiple ($L$.$C$.$M$.) of two positive integers $a$ and $b$ is equal to: (where $a, b \in N$)

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