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If two positive integer p and q are written as p=a2b3 and q=a3b;a,b are prime number, then verify: LCM(p,q)×HCF(p,q)=pq

Posted by Himanshu Prajapati 7 years ago

CBSE > Class 10 > Mathematics

2 answers

Ram Kushwah 7 years ago

{tex}\begin{array}{l}p=a^2b^3\;and\;q=a^3b\\so\;LCM=a^3b^3\;and\;HCF\;=\;a^2b\\so\;HCF\;\times\;LCM\;=a^3b^3\times a^2b=a^5b^4\\\;and\;pq=a^2b^3\;\times a^3b=a^5b^4\\so\;HCF\;\times\;LCM=pq\end{array}{/tex}

1Thank You

Rahul Gupta 7 years ago

a5b4

1Thank You

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