Answer
10584
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:
$$ 1512: 2\cdot 2\cdot 2\cdot 3\cdot 3\cdot 3\cdot 7$$
$$ 392: 2\cdot 2\cdot 2\cdot 7\cdot 7$$
Thus, the LCM is:
$$ 2\cdot 2\cdot 2\cdot 3\cdot 3\cdot 3\cdot 7\cdot 7 \\ 10584$$
