Please answer in Wolfarm Mathematica language

v Question 3 6 points In[ ]:= 'Q3: (*do not write in this bOX*) The lgmla,b) represents the least common multiple of integers a and b. For a given number n, we can calculate the average of the 1cm of n and each number less or equal to it. That is, we can calculate the average of lcwrrwi(n,k) with 1 s k s n. Example: Let's consider n = 8. Then: lgm(8,1)=8; 1cm(8,2)=8; lcm(8,3)=24; lgm(8,4)=8; 1cm(8,5)=40; lgml8,6)=24; lcm(8,7)=56. The average of these nu mbers is = 21. So, for n=8, we associate the nu mber 21. Your task: identify the largest difference for the average of 19030 between two consecutive numbers, for numbers from 1 to 10000. For which two numbers does this occu r for the first time? Example. For n=9, we have the average 1cm equal to 31. Then, the difference between the average 1cm of 8 and 9 is 10. Observation. Problem partially based on Euler Project problem 448. Solution