Answer
12000
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 multiples of each number until we get a common multiple:
$$ 600: 600,1200,1800,2400,3000,3600,4200,4800,5400,6000,6600,7200,7800,8400,9000, 9600, 10200,10800,11400, 12000 \\ 4000: 4000,8000,120000$$
The LCM is 12000.