In fact, it is to find the least common multiple of 2, 3, 4, 5, 6, 7, 8 and 9.

The least common multiple of 2, 3, 4, 5, 6, 7, 8 and 9 is

2*3*4*5*7*3=2520

There are at least 2520+1= 252/kloc-0 eggs in this batch.