48 is a common multiple, but it is not the least common multiple. Option 4 is correct.
To solve this problem
We can find the LCM by listing out the multiples of 6 until we find a number that is also a multiple of 8:
6, 12, 18, 24, 30, 36, 42, 48, ...
As we can see, 24 is the first number that is a multiple of both 6 and 8. Therefore, the LCM of 6 and 8 is 24.
Since 48 is not the smallest positive integer that is a multiple of both 6 and 8, it is not the LCM of those two numbers. 24 is the LCM because it is the smallest such number.
While 48 is not the least common multiple of 6 and 8, it is a common multiple. This indicates that while 24 is a smaller number that is also a multiple of 6 and 8, 48 is a multiple of both numbers.
Therefore, Stan's statement is incorrect. The least common multiple (LCM) of 6 and 8 is 24, not 48.