LSE is much better known internationally* and is a respected institution (if in the foreseeable future you decide that an Econ PhD is not for you). So you need to factor this into your discounting equation as well!. Since you would take the advanced track, I think LSE EME is a better option as it will be similar in difficulty but more importantly LSE gives you much more leeway career-wise.
*Better known internationally from the perspective of employers. Not talking about Econ PhD programs.