Answer:
1 PM
Explanation:
Find the least common multiple of 36 and 45 to get the next time they are equal
Factorize
36 = 2 * 2 * 3 * 3
45 = 3 * 3 * 5
Multiply for LCM
LCM(36, 45) = 2 * 2 * 3 * 3 * 5 = 180 minutes = 3 hours
Add 3 hours to 10 AM
10 AM + 3 hours = 1 PM