Alright, let's work through 6343 times 709 step by step
6343 × 709 = 709 × (6343)
+ 709 × 3 that results in 2127
+ 709 × 40 that results in 28360
+ 709 × 300 resulting in 212700
+ 709 × 6000 yielding 4254000

= 4497187
