The GCD(a, b) = 9, the LCM(a, b)=378. Find the least possible value of a+b

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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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Josephine 23 mins 2021-09-15T20:45:22+00:00 1 Answer 0

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    2021-09-15T20:46:57+00:00

    \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

    So, the least value is -42

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