He was born in Hanau. Grimm developed an interest in nature early in life and began his studies at the Academy in Kassel and took lessons from Philip Otto Runge. From 1809 to 1817, he studied at the newly founded Academy of Fine Arts Munich, interrupted only by a brief stint as an officer in the 1814 campaign against Napoleon and a study trip to Italy in 1816. While there, he learned engraving from Carl Ernst Christoph Hess. Upon completion of his studies, he published his first work; a sketchbook of engravings based on his Italian journey. He also contributed the frontispiece for the second edition of Kinder- und Hausmärchen (Grimm's Fairy Tales) in 1819.
Thanks to his brothers' connections to the academic community in Göttingen, he was able to secure commissions for two series of portraits of scholars, professors and doctors; the first in 1823 and the second in 1826. In between, he helped Gerhardt Wilhelm von Reutern found the artists' colony in Willingshausen. He became a Professor of history painting at the Kassel Academy in 1832.
Two years after his first wife's death in 1842, he married the daughter of Reform theologian Christoph Friedrich Wilhelm Ernst. In 1860, health problems made it increasingly difficult to draw. He died of pneumonia in 1863 in Kassel.
Since 2012, the city of Hanau has awarded the "Ludwig Emil Grimm Prize" to young artists. In March 2014, a life-size bronze statue of him was dedicated there in front of the "Zum Riesen" hotel as a gift to the city from the hotel's owners. It was designed by the painter Joerg Eyfferth.
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