There is a rule that the symbol "\#" represents an operation of producing the smaller one of the two numbers (for example, $17$ \# $8 = 8$). Calculate: ($6$ \# $3$ ) $\times$($10$ \# $9$)=~\uline{~~~~~~~~~~}~. 
Overseas Competition->Knowledge Point->Calculation Modules->Operations with New Definition->Operating Directly
$6$\#$3=3$, $10$\#$9=9$  $3 \times 9=27$ 