A museum is showing two videos with its new exhibit. The first is 24 minutes long and runs on a continuous loop at the entrance to the exhibit hall. The second is 15 minutes long and runs on a continuous loop at the end of the exhibit hall. Both videos are started when the museum opens at 9:30 every morning and continue running until the museum closes at 9:30 at night. If both videos start at 9:30 AM, at what times will they both begin again at the very same time during the day?