2000
The least common multiple would be 2000 x 5000 ÷ their GCF. Their greatest common factor (GCF) is 1000, so the least common multiple (LCM) is 2000 x 5000 ÷ 1000 = 10,000
The question asserts something that is not true. For example, 2000 - 1000 = 1000. 1000 is not a multiple of 9.
1000, 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000, 10000, 11000, . . .
2000 - 1000 = 1000. It's the same as 2000 x 1/2.
1000 isn't a multiple of 3.
If you work it out it is pretty easy. The first few multiples of 100 and 1000 are: 100: 100, 200, 300, 400, 500... 1000: 1000, 2000, 3000, 4000... The first few do not occur in both so they are irrelevant. The first to match is 1000 that is the lowest to match so the lowest common multiple of them both is 1000.
1000
2000 (1000+1000=2000)
The least common multiple of 300 , 1000 = 3,000
The Least Common Multiple of 120, 1000 is: 3,000
2000