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The core impurity confinement properties are experimentally investigated in the Experimental Advanced Supercon-ducting Tokamak (EAST) plasma heated by lower hybrid wave (LHW) and electron cyclotron resonance heating (ECRH)(LHW+ECRH).It is shown that the impurity confinement time (τimp) in the L-mode plasma jointly heated by LHW and ECRH is weakly dependent on electron density but strongly dependent on the heating power,thus it is shorter than that in LHW-only heated L-mode plasma with the similar plasma parameters.The combined heating of LHW and ECRH can reduce the collisionality and indicates a more effective heating method for core τimp reduction and normalized poloidal beta(βp) improvement.It should be emphasized that in this high βp operation window the small ELM regime can be accessed,and an L-mode level τimp (40 ms-80 ms) and high βN (～ 1.7) can be obtained simultaneously.It means that this typical small ELMy H-mode regime has an advantage in avoiding the serious tungsten accumulation,and will be competitive in future long-pulse steady-state and high-performance operation with high-Z material plasma-facing components.