R$_{xy}$ - R$_\textup{OHR}$$\times \mu_0H$, R$_\textup{EHR}$ is extraordinary Hall resistance. In a ferromagnetic metal, R$_\textup{EHR}$ is proportional to the out-of-plane magnetization. The resulting R$_\textup{EHR}$ as a function of magnetic field for Pt(2 nm)/LCO/LAO (PLL2) hybrid are exhibited in Fig. 5(a) in a temperature range of 2-300 K, with the Pt(2 nm)/LCO/LSAT (PLLA2) and Pt(2 nm)/LCO/STO (PLS2) hybrids showing similar behaviors. R$_\textup{EHR}$ saturates for $\mu_0H > 30$ KOe, consistent with the $M(H)$ results in Fig. 2. Upon decreasing the temperature, the PLL2 shows obvious R$_\textup{EHR}$ below the Curie temperature of LCO film. For examples, at $T$ = 2 K, the saturated R$_\textup{EHR}$ reaches 45.8 m$\Omega$, 52.4 m$\Omega$, and 49.8 m$\Omega$ for PLL2, PLLA2, and PLS2 hybrids, respectively. However, at temperatures above the Curie temperature of LCO film, e.g., $T$ = 100 K, no sizable R$_\textup{EHR}$ can be found for all hybrids, implying intimate relationship between R$_\textup{EHR}$ and LCO ferromagnetism. The temperature dependence of the derived R$_\textup{EHR}$ for PLL2, PLLA2, and PLS2 hybrids are summarized in Fig. 6 (a). As can be seen, the R$_\textup{EHR}$ is significantly temperature dependent. Below the Curie temperature of LCO film, the R$_\textup{EHR}$ increases sharply as decreasing the temperature and the R$_\textup{EHR}$ changes its sign below 50 K, 