Least positive integer divisible by 2,3,4 & 5 = LCM(2,3,4,5) = 60
Let us consider aˆb = 30ˆ60.
It is divisible by 2,3,4 & 5 and is also a perfect square, perfect cube, 4th power and 5th power, can be written in the form for positive integers a and b.
a + b = 30 + 60 = 90
So the answer is 60