Can my laptop run league of legends smoothly?

I recently got a Lenovo IdeaPad G510.

Specs:
Intel Core i5 4200M (2.5GHz)
4GB Memory 500GB HDD
Intel HD Graphics 4600
1366 x 768
Windows 8.1

I want to run it but i'd rather not if it will slow down my computer a lot. I don't mind running it on a lower setting, as long as it runs smoothly. Do you think my set up would work?

Yep

Yes Leagues of legends is a very computer friendly game and doesn't take much to run, you shouldn't have any problem playing it with integrated graphics

My PC:

i5 2230 2.8Ghz
GTS450 with only 512mb RAM
4096MB RAM
5.200RPM subpar harddrive

and i play LOL @60fps at max settings.

You're ok