The natural number n is a common multiple of 1, 2, 3, ..., 10, and it has exactly 72 divisors. What is the minimum value of n?
自然数n是1，2，3，…，10的公倍数，而且它恰有72个约数，n的最小值是多少？
<gadget id="calculator">5 * 7 * 8 * 9</gadget>
<output>2_520</output>

<gadget id="calculator">2_520 * 4</gadget>
<output>10_080</output>

<result>10_080</result>