Two planets, \(A\) and \(B\) are orbiting a common star in circular orbits of radii \(R_A\) and \(R_B\), respectively, with \(R_B = 2R_A\). The planet \(B\) is \(4\sqrt{2}\) times more massive than planet \(A\). The ratio \( \left( \frac{L_B}{L_A} \right) \) of angular momentum \( (L_B) \) of planet \(B\) to that of planet \(A\) \( (L_A) \) is closest to integer _______.
