Late goals from striker Matty Fryatt and midfielder Andy King earned Leicester victory at Brisbane Road.
Lloyd Dyer got Leicester's opener after 11 minutes before Adam Chambers levelled for Orient before half-time.
Os keeper Glenn Morris produced a string of saves in the second period but could not keep Leicester at bay.
With just five minutes remaining, Fryatt scored from close range before King capped off a fine display to score a third in the last minute.
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Goals: Chambers 44.
Leicester: Martin, Gilbert (Hobbs 82), Tunchev, Morrison, Powell, Gradel (Adams 59), Oakley, Andy King, Dyer, Howard (Campbell 85), Fryatt. Subs Not Used: Henderson, Wesolowski.
Booked: Morrison.
Goals: Dyer 11, Fryatt 87, Andy King 90.
Att: 6,448
Ref: Kevin Wright (Cambridgeshire).
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