You can put this solution on YOUR website! 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 , and the highest power of the c variable is . So the answer is .
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