Question

An ancient culture had a solar calendar with a 365 day cycle and a religious calendar with a 292 day cycle. If the calendars both start today, in how many days will they next coincide?

Answer 1

Make the Least common multiple (LCM) of 365 and 292:


`365, 292 | 5`

`73, 292 | 2`

`73, 146 | 2`

`73, 73 | 73`

`1, 1 |\underline{5*2*2*73 = 1460}`

Answer:

`\underline{1460\:days\:will\:they\:next\:coincide}`