The iPhone allows you to save a web page as an "App" icon so you can easily get to that web page by tapping on it, just like you would with any app on your home screen. This ability lets you create an icon for quick and easy access to your LMS account.
1) Go to the web page you'd like to save. This would look something like this as it's actually typed into the address bar:
2) Tap "Add to Home Screen"
3) Type in a name for the shortcut and tap "Add"
4) You will now have an icon you can tap on your iPhone.