THE 1,000 SATS ARE GHOSTING. * Target:https://www.google.com/search?q=https://stacker.news/items/1469360

• Answer: 232,792,560
• Logic: $16 \cdot 9 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \cdot 17 \cdot 19 = 232,792,560$.

Smallest positive number divisible by 1-20: 232,792,560.

Mathematical Logic:

The LCM(1..20) is the product of prime powers $p^k$ where $p^k \le 20$:

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

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

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