Which director is associated with both M (1931) and Metropolis (1927)?

The director associated with both "M" (1931) and "Metropolis" (1927) is Fritz Lang. Lang was a pioneering figure in German cinema and made significant contributions to the field with his innovative storytelling and visual style. "Metropolis" is notable for its groundbreaking special effects and its depiction of a dystopian future, while "M" is recognized as one of the earliest sound films, exploring themes of crime and morality through its intense narrative and character study. Both films showcase Lang's mastery of visual storytelling and his ability to address complex social issues, solidifying his legacy in film history. The other individuals listed do not have the same connection to these seminal works as directors, which reinforces why Fritz Lang is the correct answer.