After some integers are divided by (5/7), (7/9), (9/11), (11/13), when the obtained quotient is converted into a fraction, the fraction part is (2/5), (2/7), (2/9), (2/11), what is the smallest integer that satisfies the condition and is greater than 1?
某些整数分别被(5/7)，(7/9)，(9/11)，(11/13)除后，所得的商化作带分数时，分数部分分别是(2/5)，(2/7)，(2/9)，(2/11)，则满足条件且大于1的最小整数是多少．
<gadget id="calculator">5 * 7 * 9 * 11</gadget>
<output>3_465</output>

<gadget id="calculator">3_465 + 1</gadget>
<output>3_466</output>

<result>3_466</result>