\[\boxed{\mathbf{165\ (165).}\mathbf{\ }Еуроки\ - \ ДЗ\ без\ мороки}\]
\[1)\ a = 2^{3} \cdot 3 \cdot 5;\ \ b = 2 \cdot 3^{2} \cdot 5\]
\[НОД\ (a;b) = 2 \cdot 3 \cdot 5 = 30;\ \ \]
\[НОК\ (a;b) = 2^{3} \cdot 3^{2} \cdot 5 =\]
\[= 8 \cdot 9 \cdot 5 = 40 \cdot 9 = 360.\]
\[2)\ a = 2^{4} \cdot 3 \cdot 11;\ \ \ \ b =\]
\[= 2^{2} \cdot 3^{3} \cdot 1\]
\[НОД\ (a;b) = 2^{2} \cdot 3 = 12;\ \ \]
\[НОК\ (a;b) = 2^{4} \cdot 3^{3} \cdot 11 \cdot 13 =\]
\[= 16 \cdot 27 \cdot 11 \cdot 13 = 432 \cdot 143 =\]
\[= 61\ 776.\ \]