Suppose the greatest common divisor of two numbers is 23, and the quotient of dividing their least common multiple by their greatest common divisor is 78, then what is the sum of these two numbers?
设两个数的最大公约数为23，它们的最小公倍数被它们的最大公约数除商为78，那么，这两个数的和是多少？
<gadget id="calculator">6 * 23</gadget>
<output>138</output>

<gadget id="calculator">23 * 13</gadget>
<output>299</output>

<gadget id="calculator">138 + 299</gadget>
<output>437</output>

<result>437</result>