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Example 7: Calendar repetition period

Last Updated On: Sat Aug 29 2026

Given Data

  1. Target year: 2024.

Question

In which future year will the calendar for 2024 repeat completely?

Answer

2052.

Solution

  1. Check whether 2024 is a leap year: 2024 is divisible by 4, so it is a leap year.
  2. General rules for calendar repetition:
  3. 1. Leap year calendar repeats every 28 years.
  4. 2. (Leap year + 1) repeats every 6 years.
  5. 3. (Leap year + 2 or + 3) repeats every 11 years.
  6. Since 2024 is a leap year, add 28 years:
  7. 2024 + 28 = 2052.
  8. Therefore, the calendar for 2024 will repeat in the year 2052.
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