find the lcm of 2^33^2 and 2^23^3

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Solution

$H i, l e t p = 2^{3} \times 3^{2} = 2 \times 2 \times 2 \times 3 \times 3 q = 2^{2} \times 3^{3} = 2 \times 2 \times 3 \times 3 \times 3 s o L C M o f p, q = 2 \times 2 \times 2 \times 3 \times 3 \times 3 = 216$

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lim n \to \infty \frac{n (1^{2} + 2^{2} + 3^{2} + . . \cdot . \cdot . \cdot \cdot + n^{2})^{5}}{(1^{3} + 2^{3} + 3^{3} + + n^{3})^{4}} =

\frac{1^{3} + 2^{3} + 3^{3} + 4^{3} + . . . . . . . {.12}^{3}}{1^{2} + 2^{2} + 3^{2} + 4^{2} + . . . . . {.12}^{2}} =

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