Low Coupling (LC): The goal of LoD is to reduce coupling by reducing the knowledge of a class about other classes.
Tell, Don't Ask/Information Expert (TdA/IE): LoD is more specific than TdA/IE because TdA/IE can be applied in a wider context (e.g. for responsibility assignment). Applying TdA leads to solutions which are good according to LoD. Note that the reverse is not true: Accoring to LoD you may get and set values from an object passed as a parameter to a method.
Low Coupling (LC): Adhering to the Law of Demeter may create tramp couplings which are bad.
High Cohesion (HC): Adhering to the Law of Demeter often results in additional methods that mirror methods of aggregated objects. As these objects have other responsibilities, the additional methods have fewer commonalities with the “real” methods of the class, which results in a lower cohesion.
Model Principle (MP): Adhering to LoD may result in additional methods in aggregating classes. MP tells how they should look like.