44. How many common multiples do the numbers 180 and 300 have? Which one is the smallest? If the smallest is determined, how can the others be obtained? How many common divisors do these numbers have and what are they?
44. These numbers (like any pair of numbers) have an infinite number of common multiples; the smallest of them is 900; all other common multiples are obtained by multiplying 900 by any integer; the common divisors of the given numbers are: $2,3,5 ; 4,6,10$, $15 ; 12,20,30 ; 60$. (The number of common divisors is always finite).