The Monkey and the Coconuts

Five men and a monkey were shipwrecked on a desert island, and they spent the first day gathering coconuts for food. They piled them all together and went to sleep for the night.

One awakened and, wanting to avoid a fuss in the morning, decided to take his share. So he divided the coconuts into five piles. Having one coconut too many to make five equal piles, he gave the extra coconut to the monkey. After hiding his share, he made a single pile of the remaining coconuts and went back to sleep. (smart monkey - he also hid his coconut)

Each of the other four men did the same procedure, as the first man, at different times during the night. Each hid his share, gave one to the monkey to even the shares, and went back to sleep.

In the morning, each man awakened to find a much smaller pile of coconuts. No one commented on the reduced quantity, because each knew he was guilty.

How many coconuts were in the original pile? ( smallest quantity to satisfy the conditions)