1. Stephen and Mark are shelving books at a library. Stephen shelves 4 books at a time, whereas Mark shelves 6 at a time. If they end up shelving the same number of books, what is the smallest number of books each could have shelved?

2. For a dinner party, Ellise is creating individual servings of cupcakes. She has 18 carrot cupcakes and 27 banana cupcakes. If she wants each serving to be identical, with no food left over, what is the greatest number of servings Ellise can create?