Least Common Multiple
An integer a is a common multiple of integers b and c if b | a and c | a.
The set of common multiple of b and c is nonempty since bc is the common multiple
of b and c.
The smallest number in the set of common multiples of b and c is called the least
common multiple of b and c. For instance, {36, 72, 108 …} is an infinite set of
common multiples of 12 and 18 and 36 is the least common multiple of 12 and 18.The
least common multiple of b and c is denoted by lcm (b, c).