The natural number P has 9 divisors and the natural number Q has 10 divisors. The least common multiple of P and Q is 2800. What are Q and P? If it is understandable, I will adopt it

The prime factor is only 2 and 3, so there is at least one 2 and one 3. At this time, the answer is 2 × 3 = 6, and there are only four divisors: 1, 2, 3 and 6. If it is not enough, we need to add some 2 and some 3, and the answer is the largest, so we need to add 3:
Add another 3 to get 6 divisors of 2 × 3 × 3;
Add another 3 to get an answer of 2 × 3 × 3 × 3 with 8 divisors;
Add another 3 to get the answer of 2 × 3 × 3 × 3 × 3 with 10 divisors;
In this way, we find the answers that meet the conditions: one 2 and four 3

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