## Thinking Mathematically (6th Edition)

LCM = $2^{17}\cdot 3^{37} \cdot 5^{31}$ GCD = $2^{14} \cdot 3^{25} \cdot 5^{30}$
RECALL: (1) To find the least common multiple (LCM), select the common prime factors with the greatest exponent. (2) To find the greatest common divisor, (GCD), select the common prime factors with the lowest exponent. Using the rules above gives: LCM = $2^{17}\cdot 3^{37} \cdot 5^{31}$ GCD = $2^{14} \cdot 3^{25} \cdot 5^{30}$