daneayahbriggs6067 daneayahbriggs6067
  • 06-07-2019
  • Mathematics
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The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b

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konrad509
konrad509 konrad509
  • 06-07-2019

[tex]\text{lcm}(a,b)=\dfrac{|a\cdot b|}{\text{gcd}(a,b)}\\\\378=\dfrac{|a\cdot b|}{9}\\\\|a\cdot b|=42\\\\a\cdot b=-42 \vee a\cdot b=42[/tex]

So, the least value is -42

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