Final answer:
To find two numbers with 90 as their LCM and 810 as their product, prime factorize 810, and choose two numbers from the prime factors that satisfy the conditions.
Step-by-step explanation:
The question asks to find two numbers that have 90 as their lowest common multiple (LCM) and 810 as their product.
To find these numbers, we need to first prime factorize 810. The prime factorization of 810 is 2 x 3 x 3 x 3 x 3 x 5.
Now, we need to choose two numbers from these prime factors such that their product is 810 and their LCM is 90. Since 90 = 2 x 3 x 3 x 5, we can choose 3 x 3 x 2 = 18 and 5 as the two numbers.