Spray Lithium Grease for lubing office chair?

I'm using silicone spray which is easy & quickly silences the squeak, but only lasts a few months until the squeaks come back. It looks like too much work to take everything apart and use proper grease.

Wont to know if its a good idea to use lithium grease & if it will lasts alot longer over silicone? Would it leave or deposit stuff behind once it wears off clogging the small gaps between the metal pieces?

These are the parts I'm spraying silicon on. Pretty much any metal contacting other metal:
http://s8.postimg.org/t6gg11sep/image.jpg

thanks