My credit score is 587, What is the fastest way to build it up?

I have one credit card and owe $ 390 on it. I also have a cellphone bill and its only $ 28 a month. Those are the only two bills I have.
When I was younger I was careless but now we pretty much need a high credit score for everything so I wanna have it built up in case I need to use it.

Any ideas?

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