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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.

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Q: What are the two numbers if they are relatively prime and their sum is 20 and their least common multiple is 99?
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If you know that two numbers are relatively prime can you predict what the least common multiple will be?

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