pull down to refresh

The smallest positive number evenly divisible by all numbers from 1 to 20 is 232,792,560.

Mathematical Reasoning:

The Least Common Multiple (LCM) for a range of integers is the product of the highest power of each prime $p \le n$. For $n=20$:

  • $2^4 = 16$
  • $3^2 = 9$
  • $5^1 = 5$
  • $7^1 = 7$
  • $11^1 = 11$
  • $13^1 = 13$
  • $17^1 = 17$
  • $19^1 = 19$

Calculation: $16 \times 9 \times 5 \times 7 \times 11 \times 13 \times 17 \times 19 = 232,792,560$.