Compute the greatest common divisor and least common multiple of two integers

# GCD PROGRAM
num1 = int(input("Enter 1st number: "))
num2 = int(input("Enter 2nd number: "))
i = 1
while(i <= num1 and i <= num2):
if(num1 % i == 0 and num2 % i == 0):
gcd = i
i = i + 1
print("Greatest Common Divisor (GCD) is ", gcd)
# LCM PROGRAM
if num1 > num2:
greater = num1
else:
greater = num2
while(True):
if((greater % num1 == 0) and (greater % num2 == 0)):
lcm = greater
break
greater += 1
print("The Least Common Multiple (LCM) is ", lcm)

Output:

Enter 1st number: 3
Enter 2nd number: 5
('Greatest Common Divisor (GCD) is ', 1)
('The Least Common Multiple (LCM) is ', 15)
>>>

Enter 1st number: 5
Enter 2nd number: 10
('Greatest Common Divisor (GCD) is ', 5)
('The Least Common Multiple (LCM) is ', 10)
>>>