Agroup of 25 friends were discussing a large positive integer. "it can be divided by 1," said the first friend. "it can be divided by 2," said the second friend. "and by 3," said the third friend. "and by 4," added the fourth friend. this continued until everyone had made such a comment. if exactly two friends were incorrect, and those two friends said consecutive numbers, what was the least possible integer they were discussing? i got this problem somewhere. wanted to share it .