Let the numbers be x and y which is the largest and smallest respectively. LCM of two positive integers = 2x Difference between small number and GCD of two numbers is 4. y - GCD = 4 y - 4 = GCD We know that Product of two numbers = Product of GCD × LCM x×y=(y−4)2x xy=2xy−8x 2xy−xy=8x xy=8x y=8So, the smallest number y=8