If the LCM of two integers c, d (where d> c and c>1) is c*d, then which of the following can not be true?
Choose one.
A) Both c and d can be consecutive integers.	B) Both c and d can be Prime Numbers.	C) All Prime factors of c must be Prime factors of d.	D) c and d do not have a common factor.	E) c and d do not share any Prime factors.
If LCM of two numbers C and D is the product CD then both numbers are Co- prime.   (Co-prime numbers are any two numbers which have an HCF of 1 i.e. when two numbers have no common prime factor apart from the number 1).   Numbers that can be Co-Prime are :   1) Two consecutive natural numbers.   2) Two consecutive odd numbers.   3) Two prime numbers.   4) One prime number and the other a composite number such that the composite number is not a multiple of the prime number.   With above four statements it can be concluded that Options A, B, D and E are all true.   Only Option C cannot be true.   Hence answer is All Prime factors of c must be Prime factors of d.
<result>C</result>
If the LCM of two integers c, d (where d> c and c>1) is c*d, then which of the following can not be true?