We investigate T-c and magnetic penetration depth lambda(T) near the superconductor-metal quantum phase transition in overdoped La2-xSrxCuO4 films. Both T-c and superfluid density n(s), alpha lambda(-2), decrease with overdoping. They obey the scaling relation T-c alpha [lambda(-2)(0)](alpha) with alpha approximate to 1/2. We discuss this result in the frameworks of disordered d-wave superconductors and of scaling near quantum critical points. Our result, and the linear scaling (alpha approximate to 1) found for the more anisotropic Tl2Ba2CuO6+delta, can both be understood in terms of quantum critical scaling, with different dimensionalities for fluctuations.