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LCM(p,q) = a3b3
and HCF(p,q) = a2b
LCM(p,q) {tex}\times{/tex} HCF(p,q) = a3b3 {tex}\times{/tex} a2b
{tex}\begin{array}{l}\mathrm{LCM}(\mathrm p,\mathrm q)\;\times\mathrm{HCF}(\mathrm p,\mathrm q)\;=\mathrm a^5\mathrm b^4\;-----(1)\\\mathrm{and}\;\mathrm{pq}=\mathrm a^2\mathrm b^3\;\times\mathrm a^3\mathrm b=\mathrm a^5\mathrm b^4\;------(2)\\\mathrm{from}\;\mathrm{eq}^\mathrm n\;(1)\;\mathrm{and}\;(2)\\\mathrm{LCM}(\mathrm p,\mathrm q)\;\times\mathrm{HCF}(\mathrm p,\mathrm q)\;\;=\mathrm{pq}\\\\\end{array}{/tex}
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Abhishek Sharma 7 years, 9 months ago
0Thank You