Yadira's mom is buying hot dogs and hot dog buns for the family barbecue. Hot dogs come in packs of $12$ and hot dog buns come in packs of $9$. The store does not sell parts of a pack and Yadira's mom wants the same number of hot dogs as hot dog buns. **What is the smallest total number of hot dogs that Yadira's mom can purchase? ** [[☃ math-keypad 1]] hot dogs