Albert can run a lap on the track in $120$ seconds. Sreenath can run a lap on the track in $100$ seconds. The two start running laps at the same time from the same place. Define Sreenath’s domination factor to be the ratio of the number of times that Sreenath has lapped Albert to the total number of seconds elapsed. Find the smallest number of seconds after which Sreenath’s domination factor is maximized.