Optimal Distance for Collision-Free Earth Orbit

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IN a relatively circular Earth orbit, how far away from Earth would you have to be in order to avoid collisions?
 
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sorry, man made objects
 
keepit said:
sorry, man made objects

Ah. What do you know about the subject so far? What altitudes are used for the various low-Earth orbits? What altitude is used by geosynchronous satellites?
 
I should have been more explicit. Circular geosynchronous orbits, 26,000 miles as i understand it, is rarified as far as man made objects. I was wondering how far above Earth an object would have to be to have a high likelihood of not colliding with low Earth orbit objects and above.
 
To my understanding, once your out of LEO you've passed most of the debris.