If p#q denotes the least common multiple of p and q, then E=((12#16)#(18#24)) = ?	Choose the correct option.
A) 216
B) 180
C) 144
D) 108
E) 72
There are several ways to find the Least Common Multiple of two numbers. In this case, the most efficient method is to use the Greatest Common Factor: (A * B) / (GCF AB) = LCM AB   The greatest common factor of 12 and 16 is 4. So, 12#16 = 12*16/4= 
<gadget id="calculator">12*16/4</gadget>
<output>48</output>
48.   The greatest common factor of 18 and 24 is 6. So, 18#24= 18*24/6= 
<gadget id="calculator">18*24/6</gadget>
<output>72</output>
72   Finally, the greatest common factor of 48 and 72 is 24. So, E=((12#16)#(18#24)) = 48#72 = (48*72)/24 = 2*72= 
<gadget id="calculator">2*72</gadget>
<output>144</output>
144   The correct answer is 144.
<result>C</result>
If p#q denotes the least common multiple of p and q, then E=((12#16)#(18#24)) = ?