Consider a hyperbola \( H \) having center at the origin and foci on the \( x \)-axis. Let \( C_{1} \) be the circle touching the hyperbola \( H \) and having the centre at the origin. Let \( C_{2} \) be the circle touching the hyperbola \( H \) at its vertex and having the centre at one of its foci. If areas (in sq unit) of \( C_{1} \) and \( C_{2} \) are \( 36\pi \) and \( 4\pi \), respectively, then the length (in units) of latus rectum of \( H \) is:
