Quandaries
and Queries 

Question: My name is Nahiyan. I would like to know what is the LCM of (1) and (+1) is. Here I am writting down some of my thaughts on this. If 1 is factorized, we get 1 = 1 If (1) is factorized, we get 1 = 1 So, to get the LCM, we are supposed to take infinite numbers of (1). What will be the sign then? Will the final result be positive or negetive ? This is the point where I am getting confused. Would you please help me ? Thank you for your time. 

Hi Nahiyan We would normally define the least common multiple as the smallest positive integer that is a multiple of those under consideration, thus the lcm{1,1} is 1. By the way when we factor an integer we typically mean breaking it down into its prime factors so that your 'factorisation' of 1 is not quite the right thing. Penny 

