If two positive integers p and q can be expre | vedclass

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(A) Given that,$p = a b^{2}$ and $q = a^{3} b$,where $a$ and $b$ are prime numbers.To find the $LCM(p, q)$,we take the highest power of each prime fac

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$a^{3} b^{2}$

Vedclass · Answer

(A) Given that,$p = a b^{2}$ and $q = a^{3} b$,where $a$ and $b$ are prime numbers.To find the $LCM(p, q)$,we take the highest power of each prime factor present in the expressions.The prime factors involved are $a$ and $b$.The highest power of $a$ is $a^{3}$ (from $q$).The highest power of $b$ is $b^{2}$ (from $p$).Therefore,$LCM(p, q) = a^{3} 	imes b^{2} = a^{3} b^{2}$.

If two positive integers $p$ and $q$ can be expressed as $p = a b^{2}$ and $q = a^{3} b$,where $a$ and $b$ are prime numbers,then $LCM(p, q)$ is:

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