An interesting result of Ghahramani, Lau and Losert {\bf [3]} asserts that if $G_1$ and $G_2$ are two locally compact groups such that $LUC(G_1)^*$ is isometric isomorphic with $LUC(G_2)^*$, then $G_1$ and $G_2$ are topologically isomorphic. In the present paper we shall extend this result to locally hypergroups by proving that if $K_1$ and $K_2$ are two locally compact hypergroups such that $LUC(K_1)^*$ is isometrically isomorphic to $LUC(K_2)^*$, then $G(K_1)$ is topologically isomorphic with $G(K_2)$, where $G(K_i)$ denotes the maximum subgroup of $K_i (i=1,2)$.