Chapter 4.3, Problem 27E

What is the least common multiple of each pair in Exercise 25?

What are the greatest common divisors of these pairs of integer?

a) ${\text{3}}^{\text{7}}\cdot {\text{5}}^{\text{3}}\cdot {\text{7}}^{\text{3}},{\text{2}}^{\text{11}}\cdot {\text{3}}^{\text{5}}\cdot {\text{5}}^{\text{9}}$

b) $11\cdot \text{13}\cdot \text{17},{\text{2}}^{\text{9}}\cdot {\text{3}}^{\text{7}}\cdot {\text{5}}^{\text{5}}\cdot {\text{7}}^{\text{3}}$

c) ${\text{23}}^{\text{31}},{\text{ 23}}^{\text{17}}$

d) $\text{41}\cdot \text{43}\cdot \text{53},\text{41}\cdot \text{43}\cdot \text{53}$

e) ${\text{3}}^{\text{13}}\cdot {\text{5}}^{\text{17}}{\text{,2}}^{\text{12}}\cdot {\text{7}}^{\text{21}}$

f) $\text{1111},\text{0}$