A positive integer $N$ has base-eleven representation $\underline{a}\underline{b}\underline{c}$ and base-eight representation $\underline1\underline{b}\underline{c}\underline{a},$ where $a,b,$ and $c$ represent (not necessarily distinct) digits. Find the least such $N$ expressed in base ten.

Let's think step by step and output the final answer within \boxed{}.
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