2520

2,520 is the smallest positive integer that can be divided with numbers from 1 to 10.

Proof
\(2,520 \div 1 = 2,520\)

\(2,520 \div 2 = 1,260\)

\(2,520 \div 3 = 840\)

\(2,520 \div 4 = 630\)

\(2,520 \div 5 = 504\)

\(2,520 \div 6 = 420\)

\(2,520 \div 7 = 360\)

\(2,520 \div 8 = 315\)

\(2,520 \div 9 = 280\)

\(2,520 \div 10 = 252\)

Its prime factorization is 23 × 32 × 5 ×7.