VTMO 2022 — Grade 7 — vtmo Question 13

Define $a \blacksquare b = a \times 1 + a \times 2 + \ldots + a \times b$. Examples $3 \blacksquare 2 = 9 , 2 \blacksquare 3 = 12$. Positive integers $m , n$ satisfy $m \blacksquare 2021 = 2022 \blacksquare n$. Find the least $m + n$.