Find LCM of the following expressions :
$x^{2} - 4 x + 3$ and $x^{2} - 5 x + 6$

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Solution

$x^{2} - 4 x + 3 = (x - 1) (x - 3)$
$x^{2} - 5 x + 6 = (x - 2) (x - 3)$
$∴$ L.C.M $= (x - 1) (x - 2) (x - 3)$

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