Brenda's younger brother

Logic Level 3

$\large{\begin{array}{c}&&&&F&A&T&H&E&R \\ &+&&M&O&T&H&E&R \\ \hline &&&A&L&F&R&E&D \end{array}}$

Every letter in the above cryptarithm represents a distinct single-digit positive integer except for $L$ which represents 0. Compute the 6-digit integer $\overline{ALFRED}$ .