Eggs

Today's exercise is about a woman who was carrying eggs. Be careful and try to translate exercise to algebra first.

Elizabeth was carrying a basket of eggs for sale. David met her and by carelessness pushed her such that the basket fell to the ground and all the eggs were broken. 

David wanted to pay the woman the cost of broken eggs and asked how many of eggs were there. 

"I do not remember" Elisabeth said, "I only remember that when I rearranged the eggs by 2, there was only one egg left." In the same way, there was always one egg left when I rearranged them by 3, 4, 5 and  6. When I rearranged them by 7, then there was not a single egg left." 

The question is, how many eggs were there? Please state the smallest such number.