Smallest possible value of the least common multiple is 6
a =12 and b=54
In mathematics, the greatest common divisor (GCD) of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers. For two integers x, y, the greatest common divisor of x and y is denoted as GCD(x,y)=[tex]\frac{x*y}{LCM(x,y)}[/tex]
GCD[12, 54] =[tex]\frac{(12*54)}{106}[/tex]=6
LCM[12, 54] =108
Also a =42 and b= 24 will give the same GCD of 6, but the LCM[42, 24] =168 which is greater than the first one.
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