Run Lighthouse as a plugin for sitespeed.io
You can read more about sitespeed.io plugins here.
If you have checked out as the same level as sitespeed.io you run it like this (else just change the path).
git clone https://github.com/sitespeedio/sitespeed.io.git
cd sitespeed.io
npm install
bin/sitespeed.js --plugins.add ../plugin-lighthouse/lib/ https://www.sitespeed.io/ -n 1
If you want to run Lighthouse with your other sitespeed.io test, follow the instructions in the add a plugin docs.