# Horrendous Horror.

You happen to visit a school. You meet the maths teacher of the school and ask her for the total number of enrollments in the past $$20-25$$ years. The maths teacher doesn't know what exactly it is but quite evasively leaves you with a puzzle that she's sure that you can never solve. The puzzle is as follows: To have an equal number of students in a classroom, they tried grouping them in a size of $$71,73,75,77$$ students. To their irritation, they found that $$12,26,34,59$$ students are left in each case. She then asks you to find the least number of enrollments with which such a scenario is possible. Will you outsmart her??

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