Answer
10530
Work Step by Step
The Least Common Multiple is the smallest number that is a multiple of all of the numbers listed. Remember, multiples of a number are all of the numbers that the number can be multiplied by a whole number to get that number. Thus, we find the prime factorizations:
$$ 810: 2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5 \\ 1170: 2\cdot 3\cdot 3\cdot 5\cdot 13$$
Thus, the LCM is:
$$ 2\cdot 3\cdot 3\cdot 3\cdot 3\cdot 5\cdot 13 \\ 10530$$
