Matthew goes hiking every 12 days and swimming every 6 days . he did both kinds of exercise today . how many days from now will he go both hiking and swimming again? find the gcf or lcm

Verified Answer :

Answer=12

To solve this, we have to look for the LCM.

The LCM of 6 and 12 is 12

They will go hiking again 12 days from now

12 = 2^(2) 3
6 = 2
3
LCM (12,6) = 2^(2)* 3= 12

Because LCM (12,6)= 12, Matthew will go both hiking and swimming again 12 days from now.

Hope this helps~