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suppose and are positive integers such that the units digit of is , the units digit of is , and the greatest common divisor of and is . what is the smallest possible value of the least common multiple of and ?

Sagot :

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.

Learn more about GCD here:

https://brainly.com/question/942154

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