Hide chapter prefix in KOMA-Script headers [duplicate]

Question

I am using KOMA-Script with the scrbook class. I want all my chapters headings prefixed with "Chapter", but I don't want the "Chapter" prefix in headers. I can't figure out how to change the headers.

I only want to remove the prefix here (top of each page):

But I want to keep the prefix here:

Here is the code. A pure KOMA-script solution is preferable.

\documentclass[headings=standardclasses, oneside]{scrbook}

\usepackage{lipsum}

\begin{document}
\chapter{My Chapter Title}
\lipsum[1-5]
\end{document}