The integers 1 to 10 are divided into two groups such that the product of the first group of numbers is divisible by the product of the second group of numbers. What is the smallest possible value of the quotient.
整数1到10被分成两组，使得第一组数的乘积可被第二组数的乘积整除．则商的最小可能值是多少．
<gadget id="calculator">2 * 2 * 2</gadget>
<output>8</output>

<gadget id="calculator">3 * 3</gadget>
<output>9</output>

<gadget id="calculator">1 * 2 * 5 * 8 * 9 * 7</gadget>
<output>5_040</output>

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

<gadget id="calculator">2 * 3</gadget>
<output>6</output>

<gadget id="calculator">3 * 4 * 6 * 10</gadget>
<output>720</output>

<gadget id="calculator">5_040 / 720</gadget>
<output>7</output>

<result>7</result>