Hotel Digital has 30 floors. Step into the lift at Hotel Digital and you'll have to think! It will only...

Hotel Digital has 30 floors. Step into the lift at Hotel Digital and you'll have to think! It will only stop at floors which are multiples of the days of the week numbers. On Monday it will go to any floor. On Tuesdays it will only go to floors which are multiples of 2. On Wednesdays it will only go to floors which are multiples of 3 and so on. Which would be the best floor of the hotel to stay on if you do not like using the stairs and you plan to stay for a week? The lifts always stop at the lobby floor which is below the first floor. If the hotel had more floors, which would be the lowest floor at which the lift would stop at every day of the week?