This **leap year calculator** is designed to determine whether a specific year is a **leap year** or not based on established rules.

A

leap yearis a year that contains an extra day,February 29, making it366 dayslong instead of the typical365 days. This adjustment is necessary to keep ourcalendar yearsynchronized with theastronomical year, which is about365.2425 dayslong.

To understand how this works, consider the following examples:

**Year 2020**: Divisible by**4**(2020 ÷ 4 = 505), hence it is a**leap year**.**Year 1900**: Divisible by**4**(1900 ÷ 4 = 475), but also divisible by**100**(1900 ÷ 100 = 19) and not by**400**, so it is**not**a leap year.**Year 2000**: Divisible by**4**(2000 ÷ 4 = 500), divisible by**100**(2000 ÷ 100 = 20), and also divisible by**400**(2000 ÷ 400 = 5), thus it is a**leap year**.

## Leap Year Calculator

Year | Calculation | Result |
---|---|---|

1600 | 1600 ÷ 4 = 400, 1600 ÷ 100 = 16, 1600 ÷ 400 = 4 | Leap Year |

1700 | 1700 ÷ 4 = 425, 1700 ÷ 100 = 17 | NOT a Leap Year |

1800 | 1800 ÷ 4 = 450, 1800 ÷ 100 = 18 | NOT a Leap Year |

1900 | 1900 ÷ 4 = 475, 1900 ÷ 100 = 19 | NOT a Leap Year |

1904 | 1904 ÷ 4 = 476 | Leap Year |

1996 | 1996 ÷ 4 = 499 | Leap Year |

2000 | 2000 ÷ 4 = 500, 2000 ÷ 100 = 20, 2000 ÷ 400 = 5 | Leap Year |

2004 | 2004 ÷ 4 = 501 | Leap Year |

2024 | 2024 ÷ 4 = 506 | Leap Year |

2028 | 2028 ÷ 4 = 507 | Leap Year |

2032 | 2032 ÷ 4 = 508 | Leap Year |

2036 | 2036 ÷ 4 = 509 | Leap Year |

2040 | 2040 ÷ 4 = 510, 2040 ÷ 100 = 20.4 | Leap Year |

2044 | 2044 ÷ 4 = 511 | Leap Year |

2048 | 2048 ÷ 4 = 512 | Leap Year |

2100 | 2100 ÷ 4 = 525, 2100 ÷ 100 = 21 | NOT a Leap Year |

2104 | 2104 ÷ 4 = 526 | Leap Year |

2200 | 2200 ÷ 4 = 550, 2200 ÷ 100 = 22 | NOT a Leap Year |

2300 | 2300 ÷ 4 = 575, 2300 ÷ 100 = 23 | NOT a Leap Year |

2400 | 2400 ÷ 4 = 600, 2400 ÷ 100 = 24, 2400 ÷ 400 = 6 | Leap Year |

2500 | 2500 ÷ 4 = 625, 2500 ÷ 100 = 25 | NOT a Leap Year |

2600 | 2600 ÷ 4 = 650, 2600 ÷ 100 = 26 | NOT a Leap Year |

2700 | 2700 ÷ 4 = 675, 2700 ÷ 100 = 27 | NOT a Leap Year |

2800 | 2800 ÷ 4 = 700, 2800 ÷ 100 = 28, 2800 ÷ 400 = 7 | Leap Year |

## Leap Year Formula

```
=IF(OR(MOD(year,400)=0,AND(MOD(year,4)=0,MOD(year,100)<>0)),"Leap Year", "NOT a Leap Year")
```

**Explanation of the Formula**

**MOD(year, 400) = 0**: If the year is divisible by**400**, it is a**leap year**.**AND(MOD(year, 4) = 0, MOD(year, 100) <> 0)**: If the year is divisible by**4**but**not**by**100**, it is also a**leap year**.- If neither condition is met, the year is
**not**a leap year.

## How do you calculate leap year?

**Check divisibility by 4**: If the year is divisible by**4**, proceed to the next step. If not, it is a**common year**.**Divide by 100**: If the year is divisible by**100**, move to the next step. If not, it is a**leap year**.**Check divisibility by 400**: If the year is divisible by**400**, it is a**leap year**. If not, it is a**common year**.

Let’s calculate if the year **2024** is a **leap year**:

**2024 ÷ 4 = 506**(no remainder, proceed)**2024 ÷ 100 = 20.24**(not divisible, so it is a**leap year**)

Thus, **2024** is a **leap year**.

## Is leap year skipped every 400 years?

Yes, **leap years** are skipped every **400 years** due to the need for precision in our **calendar system**. The **Gregorian calendar**, which is the calendar most widely used today, makes adjustments to ensure that the average calendar year is as close as possible to the **astronomical year**.

**Every year divisible by 4** is a **leap year**, which adds an extra day.

**Every year divisible by 100** is **not** a **leap year** unless it is also divisible by **400**. This rule corrects the overestimation of leap years that would occur if every fourth year was treated as a leap year.

While

1700, 1800, and 1900arenot leap years,2000and2400areleap yearsbecause they are divisible by400.

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