This video that walks you through running least cost path analysis in ArcMap. In order to perform least cost path analysis with ArcGIS, you'll need access to the Spatial Analyst extension, so be sure that is available before you begin. In the tutorial you'll also learn how to create a custom toolbox and a model using model builder. Creating a model allows you to "map out" your workflow so you can easily trace the steps you took as well as repeat them in the future. You'll perform the analysis using a weighted overlay with parameters including slope and landcover type.
For more video tutorials by Luis, you can visit his blog here.