Example 7: Calendar repetition period
Last Updated On: Sat Aug 29 2026Given Data
- Target year: 2024.
Question
In which future year will the calendar for 2024 repeat completely?
Answer
2052.
Solution
- Check whether 2024 is a leap year: 2024 is divisible by 4, so it is a leap year.
- General rules for calendar repetition:
- 1. Leap year calendar repeats every 28 years.
- 2. (Leap year + 1) repeats every 6 years.
- 3. (Leap year + 2 or + 3) repeats every 11 years.
- Since 2024 is a leap year, add 28 years:
- 2024 + 28 = 2052.
- Therefore, the calendar for 2024 will repeat in the year 2052.