Löbenstein obtained a doctorate in 1910 under David Hilbert in Göttingen, with a dissertation titled Über den Satz, daß eine ebene, algebraische Kurve 6. Ordnung mit 11 sich einander ausschließenden Ovalen nicht existiert [On the proposition that no plane algebraic curve of degree 6 with 11 mutually exclusive ovals exists], and was therefore one of the first German women to obtain a doctorate in mathematics (the mathematics division was part of the faculty of philosophy then). She took her oral examination – again, along with Kahn – on 30 June 1909. Afterwards Löbenstein worked as a high school teacher in Metz and Landsberg. She was dismissed on 1 January 1936 due to the Nazi racial laws. In 1941 she emigrated to Argentina. She died on 10 June 1968 in Buenos Aires, where she rests in the Cementerio alemán.
