  Let $(L_n^{(k)})_{n\geq 2-k}$ be the sequence of $k$-generalized Lucas
numbers for some fixed integer $k\ge 2$, whose first $k$ terms are
$0,\;\ldots\;,\;0,\;2,\;1$ and each term afterward is the sum of the preceding
$k$ terms. In this paper, we find all pairs of the $k$-generalized Lucas
numbers that are multiplicatively dependent.
