Answer
$35b^3c$
Work Step by Step
To find the LCD, or the Least Common Multiple,we must write out each as products of prime factors.
$5b = 5 \times b$
$7b^3c = 7 \times b \times b \times b \times c$
The Least Common Multiple, or LCD, then is $5\times 7\times b\times b\times b\times c= 35b^3c$