Question 553037
When you are finding the least common multiple involving variables, you must have each variable raised to the highest power of the variable.  


In this case, you have b and c.  The highest power of b is {{{b^3}}}, and the highest power of the c variable is {{{c^2}}}.  So the answer is {{{b^3c^2}}}.


For more explanation, visit my website by use of the easy to remember and easy to spell link www.mathinlivingcolor.com.  At the bottom of this page is a link that will take you to my FREE Homepage.  Look near the top of this page for the link "Basic, Intermediate, and College Algebra: One Step at a Time", click on "Basic Algebra" and look in Chapter 3 for the section "3.03 Least Common Denominators."  My explanation should be a LOT easier to understand than the traditional textbooks you are probably using.


Happy New Year!!  My Email address is rapaljer@seminolestate.edu if you need to contact me!!


Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus