Question 281675

Find the LCM of 

{{{s^2-1}}} and {{{s^2+7s+6}}}
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Factor them both:

{{{(s-1)(s+1)}}} and {{{(s+1)(s+6)}}}

{{{(s-1)}}} appears one time in {{{(s-1)(s+1)}}} and one time in {{{(s+1)(s+6)}}},

so {{{(s-1)}}} must appear one time in the LCD.

{{{(s+1)}}} appears one time in {{{(s-1)(s+1)}}} and no times in {{{(s+1)(s+6)}}},

so {{{(s+1)}}} must appear one time in the LCD.

{{{(s+6)}}} appears no times in {{{(s-1)(s+1)}}} and one time in {{{(s+1)(s+6)}}},

so {{{(s+6)}}} must appear one time in the LCD.

So the LCD is {{{(s-1)(s+1)(s+6)}}}

Edwin</pre>