When one of them divides evenly into the product with no remainder and the result is the other number.
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It is the number one.
They are called conjugates.
The LCM of two numbers is one of the numbers when one of the numbers is a multiple of the other. The LCM of two numbers is the product of the numbers when they are relatively prime. In all other cases (like consecutive even numbers that aren't 2 and 4) the LCM is as you describe.
The product of all factors of the two numbers is 2097152.
Prime numbers have two factors. Prime squares have three factors. Square numbers have an odd number of factors but that number varies.