Written as the product of their prime factors, First integer ${{2}^{p}} imes {{3}^{q}}$ Second inte

Question

Written as the product of their prime factors,

First integer ${{2}^{p}}\times {{3}^{q}}$

Second integer $2\times 3\times {{5}^{r}}$

The highest common factor of these two integers is $2\times 3$. The lowest common multiple of these two integers is${{2}^{2}}\times 3\times 5$. Find the values of $p$, $q$ and $r$.

Accepted Answer

p=2, q=1, r=1.

Determining Exponents from HCF and LCM Conditions

Determining Exponents from HCF and LCM Conditions

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