+0  
 
0
99
4
avatar+112 

For how many values of k is 12^12 the least common multiple of the positive integers 6^6, 8^8, and k?

 Jul 1, 2020
 #1
avatar
0

I find ONLY one value for "k" = 531,441 =3^12 =9^6

 Jul 1, 2020
 #2
avatar+112 
0

Ok, Thank you for your efort, but it says that its wrong.

QuestionsBug  Jul 1, 2020
 #3
avatar
0

Sorry young person! I found a few more values for k as follows:

 

K = 531441,  1062882,  2125764,  4251528,  8503056.

Note: there may more, since I only checked up to 10,000,000 numbers.
 

 Jul 1, 2020
 #4
avatar
0

They are ALL multiples of  531,441 x 2^24

Guest Jul 1, 2020

12 Online Users

avatar
avatar