Consider the following MWE
\documentclass{standalone}
\usepackage{tikz}
\usetikzlibrary{positioning}
\begin{document}
\begin{tikzpicture}
\node[anchor=west, inner sep=0pt, draw, very thin, rectangle] (a) at (0,0) {\scalebox{15}{\sffamily LARGE}};
\node[anchor=west, inner sep=0pt, draw, very thin, rectangle] (b) at (0,-4) {\scalebox{3}{\sffamily smaller text}};
\draw[blue] (a.west) ++ (0,-2cm) -- ++(0,4cm);
\draw[red] (a.west) ++ (-0.2cm,0) -- ++(0.4cm,0);
\draw[red] (a.west) ++ (0,-0.2cm) -- ++(0,0.4cm);
\draw[blue] (b.west) ++ (0,-2cm) -- ++(0,4cm);
\draw[red] (b.west) ++ (-0.2cm,0) -- ++(0.4cm,0);
\draw[red] (b.west) ++ (0,-0.2cm) -- ++(0,0.4cm);
\end{tikzpicture}
\end{document}
which produces this result:
Why is there some space between the "bounding box" and the letter L? I want to remove the white space around the text exactly, such that the vertical line of the L and the smaller text below align perfectly.
Further, I want to scale the smaller text such that it becomes exactly as wide as the top text. How is that possible?

