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

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(A) We know that for any two positive integers $a$ and $b$,the relationship $a 	imes b = LCM(a, b) 	imes GCD(a, b)$ holds true.Given that $LCM(a, b)

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(A) We know that for any two positive integers $a$ and $b$,the relationship $a 	imes b = LCM(a, b) 	imes GCD(a, b)$ holds true.Given that $LCM(a, b) = a 	imes b$.Substituting this into the formula,we get $a 	imes b = (a 	imes b) 	imes GCD(a, b)$.Dividing both sides by $a 	imes b$ (assuming $a, b 
eq 0$),we get $GCD(a, b) = 1$.Therefore,the correct answer 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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