Answer
12625
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:
$$ 125: 5\cdot5\cdot 5 \\ 2525: 5\cdot5\cdot 101$$
Thus, the LCM is:
$$ 5\cdot 5 \cdot 5 \cdot 101 \\ 12625$$
