How to colour each number differently in latex subscript

I have the following latex I am using in Lucidchart application:

\omega_{11}^{\ell}

I want the first 1 to be a red colour and the second 1 to be a green colour. How do I achieve that?

I have tried the following:

\omega_{1{red}1{green}}^{\ell}

but it doesn't lead to the right result.

\documentclass{article}

\usepackage{xcolor}

\begin{document}
\[
\omega_{\mathcolor{red}{1}\mathcolor{green}{1}}^{\ell}
\]
\end{document}