LR36 First Officer reported a main gear tire failure on takeoff roll resulting in a divert to the nearest suitable airport.

Narrative

While departing ZZZ on scheduled part 135 flight we felt a bump as the left anti skid lights illuminated and we called V1. We continued rotation as the event happened at V1 speeds and continued flight to altitude as normal while troubleshooting. Once in cruise flight we were informed by ATC that ZZZ Tower had reached out to our ops to let them know there were tire remains on the runway that they believed were ours. Once we determined that 1 or both main tires were popped we [requested priority] and began running proper checklists as well as communicating with crew and ops on the ground via the sat phone. Crew decided to divert to ZZZ1 for use of longer runways and abundant services. In an effort to land as lightly and safely as possible we requested lower altitude; free speed and delay vectors to burn excess fuel. This allowed us to touch down at a lower gross weight reducing damage and risk. Airplane landed safely without leaving pavement on Runway XXR with personnel standing by and evacuation underway as soon as practicable. No injuries sustained. Damage to airplane appeared limited to left main gear.