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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?

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dexteright02
Make the Least common multiple (LCM) of 365 and 292:

[tex]365, 292 | 5[/tex]
[tex]73, 292 | 2[/tex]
[tex]73, 146 | 2[/tex]
[tex]73, 73 | 73[/tex]
[tex]1, 1 |\underline{5*2*2*73 = 1460}[/tex]

Answer:
[tex]\underline{1460\:days\:will\:they\:next\:coincide}[/tex]

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