Check always, sometimes, or never for each statement. Then justify it: give an example, and if you chose “sometimes,” also give a counterexample.
The least common multiple of two numbers equals the two numbers multiplied together.
True only when the numbers share no common factor: LCM(4, 5) = 20. But LCM(4, 6) = 12, not 24.
The least common multiple of two numbers is a multiple of both of them.
The least common multiple of two numbers is greater than both of the numbers.
A prime number and its double are both prime.
Two consecutive whole numbers can both be prime.
If two numbers are both factors of a number, then their product is also a factor of that number.