Question

Wilson goes hiking every 9 days and swimming every 6 days .He did both of the kind of exercise today how many days from now will you go both hiking and swimming again LCM

Answer 1

56 hikeing and swimming

Answer 2

To do this, we need to find the LCM of 6 and 9. This can be found by listing out some multiples of each and then finding the first one they have in common:

Multiples of 6: 0, 6, 12, 18, 24, 30, 36
Multiples of 9: 0, 9, 18, 27, 36, 45

The first multiple they have in common is 18, so that is the amount of days until he will hike and swim on the same day. Note that both lists have 36, but this is not the answer since it is not the smallest multiple that they have in common.