Final answer:
The least number of people in the marching band, based on lines of 6 or 10, is found by calculating the LCM of 6 and 10, which is 30.
Step-by-step explanation:
The question posed is asking about the least number of people that can be in a marching band if the band members have to be arranged in lines of either 6 or 10 members. This problem is based on finding the least common multiple (LCM) of 6 and 10, which is the smallest number that is a multiple of both 6 and 10. The LCM of 6 and 10 is 30. Therefore, the least number of people required in the marching band so that they can be evenly arranged into both lines of 6 and lines of 10 is 30 members.