Alright, let's work through 6774 times 6819 step by step
6774 × 6819 = 6819 × (6774)
+ 6819 × 4 that is equal 27276
+ 6819 × 70 producing 477330
+ 6819 × 700 yielding 4773300
+ 6819 × 6000 giving us 40914000

= 46191906
