A farmer is on his way to the market to sell eggs when a meteorite hits his truck and destroys all of the produce. In order to file an insurance claim, he needs to know how many eggs were broken. He knows that when he counted the eggs by $2$s there was $1$ left over. When he counted them by $3$s there was $1$ left over. When he counted them by $4$s there was $1$ left over. When he counted them by $5$s there was one left over. When he counted them by $6$s there was $1$ left over, when he counted them by $7$s there were none left over. What is the smallest number of eggs there were in the truck?