The word lexicographic is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 34
Highest Scoring Words With Friends™ Play In The Letters lexicographic
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Seven Letter Word Alert: (30 words)
airhole, apogeic, caliche, caliper, caloric, calorie, chalice, choicer, choleic, cholera, choragi, chorale, choregi, coalier, cochair, cochlea, coeliac, epochal, exocarp, glacier, gracile, graphic, harelip, icepail, liriope, pelagic, pergola, poacher, polaric, replica