  Incompatible measurements, i.e., measurements that cannot be simultaneously
performed, are necessary to observe nonlocal correlations. It is natural to
ask, e.g., how incompatible the measurements have to be to achieve a certain
violation of a Bell inequality. In this work, we provide the direct link
between Bell nonlocality and the quantification of measurement incompatibility.
This includes quantifiers for both incompatible and genuine-multipartite
incompatible measurements. Our method straightforwardly generalizes to include
constraints on the system's dimension (semi-device-independent approach) and on
projective measurements, providing improved bounds on incompatibility
quantifiers, and to include the prepare-and-measure scenario.
