30 and 63 are relatively prime numbers. The factors of 30 are 1, 2, 3, 5, and 30, and the factors of 63 are 1, 7, 9, and 63. Two or more numbers are relatively prime if 1 is their only common factor.
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You might be thinking of relatively prime numbers. Two numbers are considered relatively prime if their GCF is 1. 4 and 9 are relatively prime.
It is, and always is relatively prime.
Any two different prime numbers are relatively prime because relatively prime numbers are sets of two or more numbers having 1 as their greatest common factor.
When two numbers are relatively prime, the LCM will be their product.
Use the prime factorizations to determine the GCF. If the GCF is 1, the numbers are relatively prime. If the two numbers have no prime factors in common, they are relatively prime.