If the Least Common Multiple (LCM) of two num | vedclass

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(A) For any two positive integers $a$ and $b$,the relationship between their $LCM$ and $GCD$ is given by: $a 	imes b = LCM(a, b) 	imes GCD(a, b)$.Gi

Vedclass · Accepted Answer

$1$

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(A) For any two positive integers $a$ and $b$,the relationship between their $LCM$ and $GCD$ is given by: $a 	imes b = LCM(a, b) 	imes GCD(a, b)$.Given that $LCM(a, b) = a 	imes b$.Substituting this into the formula: $a 	imes b = (a 	imes b) 	imes GCD(a, b)$.Dividing both sides by $(a 	imes b)$,we get: $GCD(a, b) = 1$.Therefore,the $GCD$ of the two numbers is $1$.

If the Least Common Multiple $(LCM)$ of two numbers is equal to their product,then their Greatest Common Divisor $(GCD)$ is . . . . . . .

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