What is the smallest number that is exactly divisible by every whole number from 1 to 10?

Explanation

1. 01

   We need LCM(1, 2, …, 10).

2. 02

   Highest prime powers up to 10: $2^3 = 8$, $3^2 = 9$, 5, 7.

3. 03

   $\operatorname{LCM} = 8 \times 9 \times 5 \times 7 = 2{,}520$.