What is the lowest common multiple of the two numbers given above?
Note that .
How many positive integers are there such that 2027 divided by leaves a remainder of 7?
Evaluate .
Details and assumptions
The number , read as n factorial, is equal to the product of all positive integers less than or equal to . For example, .
How many ordered pairs of positive integers satisfy
This problem is shared by Muhammad A.
Details and assumptions
and denote the greatest common divisor and least common multiple of and , respectively.