if a=2^3*3^7*5^3*11^4 and b=2^2*3^5*7^2*11*13,find the following.(leave your anwer written with exponents)a.GCD b.LCM

Question

drwls · Answer

a. The Greatest Common Divisor is the product of prime factors that are common to both a and b.
That would be 2^2*3^5*7*11
b. The Lowest Common Multiple is the product of all prime factors multiplied the maximum amount of times they occur in either a or b.
That would be
2^3*3^7*5^3*7^2*11^4*13

yolanda · Answer

thank you so much. i just figured this out right before i checked back. i got the same answer for the lcm but for the gcd i had the same except for the 7. are you sure that is supposed to be there?

drwls · Answer

Yes. Seven is an even divisor of both a and b