What a sleep cycle calculator is estimating
Sleep does not stay in one fixed depth all night. Instead, the brain cycles through non-REM and REM sleep repeatedly, with each full cycle often taking around 80 to 100 minutes in adults. A sleep cycle calculator uses that broad pattern to suggest times that may line up better with the end of a cycle rather than the middle of one.
That is why this kind of bedtime calculator or wake-up time calculator usually offers several options, such as four, five, or six cycles. The aim is not to guarantee perfect sleep, but to help users plan around a plausible cycle rhythm when they know when they want to go to bed or when they need to wake up.