uniique factorization

[kory]

Im trying to find the least positive integer k of a series of integers and their exponents. k also has to be a perfect cube. I tried multiplying all of the numbers together and then factoring from their but I can't seem to find any perfect cubes. Im not sure if my aproach to this problem is correct.

so far I have:
2^4 · 3^5 · 7 · 11^2 · k
k = 3293136

I'm not sure where to go from here.

 

[Deleted member 4993]

Im trying to find the least positive integer k of a series of integers and their exponents. k also has to be a perfect cube. I tried multiplying all of the numbers together and then factoring from their but I can't seem to find any perfect cubes. Im not sure if my aproach to this problem is correct.

so far I have:
2^4 · 3^5 · 7 · 11^2 · k
k = 3293136

I'm not sure where to go from here.

As posted, I can't understand the "FIND" of the problem.

Please post the EXACT problem of your assignment.

 

[kory]

Find the least positive integer k such that 2^4 · 3^5 · 7 · 11^2 · k is a perfect cube

 

[lex]

Im trying to find the least positive integer k of a series of integers and their exponents. k also has to be a perfect cube. I tried multiplying all of the numbers together and then factoring from their but I can't seem to find any perfect cubes. Im not sure if my aproach to this problem is correct.

 

[kory]

That makes sense. Thank you

 

[lex]

Grand. Let me know what you get for your problem if you want me to check it.