Numbers on a pentagon - Portuguese MO, Problem 4, 2010
Source:
August 28, 2010
least common multiplenumber theory proposednumber theory
Problem Statement
Giraldo wrote five distinct natural numbers on the vertices of a pentagon. And next he wrote on each side of the pentagon the least common multiple of the numbers written of the two vertices who were on that side and noticed that the five numbers written on the sides were equal. What is the smallest number Giraldo could have written on the sides?