Solve each problem below. Consider whether your solution strategy relies on considering the greatest common factor (GCF) of the numbers involved, or the least common multiple (LCM): a. Two friends are running around a track at the local school. One friend runs a lap every 75 seconds and the other friend runs a lap every 90 seconds. If they started from the starting line at the same time, and they run consistently at their own pace, after how long will the friends cross the starting line at the same time again? b. Sam and Emma are planning a school project. Sam has 30 blue markers, and Emma has 42 red markers. They want to divide the markers equally among the members of their group, with each member getting the same number of blue and red markers. What is the greatest number of group members they can have, such that each member receives an equal number of blue and red markers