If r,s,t are prime nos. and p,q are the positive integers ....
A liitle help!
If r,s,t are prime nos. and p,q are the positive integers such that the LCM of p,q is (r^2)*(t^4)*(s^2) then find the number of ordered pair (p,q)...just wanted to verify the answer....
Last edited by mr fantastic; Mar 1st 2011 at 11:52 AM.
Reason: Re-titled.
If r,s,t are prime nos. and p,q are the positive integers such that the LCM of p,q is (r^2)*(t^4)*(s^2) then find the number of ordered pair (p,q)...just wanted to verify the answer....
If , and if , with
for all but a finite number of primes, then .
Thus in our case, either p or q will have to be divided by each of those primes to the corresp. power.