Brahmagupta has a basket full of eggs. When he takes the eggs out of the basket 2 at a time, there is 1 egg left over. When he takes them out 3 at a time, there are 2 eggs left over. Likewise, when he takes the eggs out 4, 5, and 6 at a time, he finds remainders of 3, 4, and 5, respectively. However, when he takes the eggs out 7 at a time, there are no eggs left over.

What is the least amount of eggs that could be in Brahmagupta's basket?

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