Let $(Z,\Delta=\sum^{j}_{i=1}\Delta_{i})$ be a reduced $dlt$-pair over $k$ such that $K_{Z}+\Delta$ is Cartier. Let $D$ be a log canonical center and let $\Delta_{1},\ldots,\Delta_{\ell}$ be the irreducible components of $\Delta$ that contain $D$. Let $U$ be the maximal open subset of $Z$ where $Z$ is smooth and $\Delta$ is a divisor with strict normal crossings. If we write $(K_{Z}+\Delta)|_{D}=K_{D}+\Delta_{D}$, then $\Delta_{D}$ is equal to the closure of the restriction of $\sum^{j}_{i=\ell+1}\Delta_{i}|_{U}$ to $U\cap D$.