Let the hyperbola $H:{{{x^2}} \over {{a^2}}} - {y^2} = 1$ and the ellipse $E:3{x^2} + 4{y^2} = 12$ be such that the length of latus rectum of H is equal to the length of latus rectum of E. If ${e_H}$ and ${e_E}$ are the eccentricities of H and E respectively, then the value of $12\left( {e_H^2 + e_E^2} \right)$ is equal to ___________.