No, 9 isn't prime, you need to go to 3 X 3 X 11.
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the prime factorization did actually because
If the two numbers are relatively prime, their least common multiple is their product. The prime factors of 99 are 3, 3, and 11. Since the two numbers are relatively prime, the possibilities are 9 and 11 or 1 and 99. The pair of 9 and 11 add up to 20 and their least common multiple is 99. So, 9 and 11 are the two numbers.
99 is not a prime number because it has more factors than 1 and itself. The factors of 99 are 1, 3, 9, 11, 33, and 99.
The prime factorization of 9 is 3 x 3.
3*3 = 9