Journal of Pure and Applied Mathematics: Advances and ApplicationsAuthor's: SHUAA ALDHAFEERI and MASHHOUR BANI-ATA
Pages: [137] - [140]
Received Date: January 2, 2013; Revised March 7, 2013
Submitted by:
The aim of this note is to answer the following two problems:
Problem 1: Given two positive integers 
such that 
What are the pairs 
of positive integers, such that 
and 
where 
denotes the greatest common divisor of
a and b; and 
denotes the least common multiple of
a and b.
Problem 2: How one can construct the pairs with the above properties, i.e., and
greatest common divisor, least common multiple.
