The 28-year-old Hagadone will be making his third stint with the Indians. He has appeared in five games with Cleveland, going 1-0 with a 7.71 ERA.
Hagadone was 3-4 with a 3.71 ERA in 21 games with the Clippers.
Lowe was 0-1 with a 3.86 ERA in seven games with Cleveland.
The Indians announced the moves before Wednesday night's game at Arizona.