Alright, let's work through 5677 times 1281 step by step
5677 × 1281 = 1281 × (5677)
+ 1281 × 7 what gives us 8967
+ 1281 × 70 resulting in 89670
+ 1281 × 600 that is equal 768600
+ 1281 × 5000 resulting in 6405000

= 7272237
