Hi-Lo Cryptogram

Logic Level 2

HH+LHH1 \large{\begin{array}{ccc} && & H&H\\ + && & L&H\\ \hline & & & H & 1\\ \hline \end{array}}

In the cryptogram above, the L position indicates a digit from the set {1,2,3,4}\{1, 2, 3, 4\} and the HH positions indicate a digit from the set {5,6,7,8,9}\{5, 6, 7, 8, 9\}. All digits in the H positions are unique.

While there is not a unique way to fill in the cryptogram, the H in the sum's result can only be one particular value. What is it?

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