math
posted by james on .
The Mayan Empire, which ruled Central America for centuries, had two calendars. One calendar was the same
as ours, 365 days long (without leap year). The other calendar was 270 days long, the length of a woman's
pregnancy. If both start on day one at the same time, then after how many of our years will the two calendars
begin at day one at the same time again?

This is like finding the LCM of the two numbers
365 = 5x73
270 = 5x2x27
LCM = 5x2x27x73 = 19710 days
or 54 of our year