C172 HAD CHECKED NOTAMS PRIOR TO DEP; BUT A NOTAM WAS ISSUED FOR SNOW REMOVAL DURING TAXI OUT. NO RESTRICTION WAS COMMUNICATED TO THE PLTS AS THEY TAXIED.

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I WAS CONDUCTING FLT INSTRUCTION AT LACONIA MUNICIPAL ARPT (LCI). AT XA30; MY PVT PLT STUDENT AND I CALLED 1-800-WXBRIEF; FOR A FULL STANDARD WX BRIEFING. THERE WERE SEVERAL NOTAMS FOR LCI BUT NONE STATING ARPT CLOSURE DUE TO SNOW REMOVAL OP REQUIRING A PPR (PRIOR PERMISSION REQUIRED). IT WAS LATER DOCUMENTED THAT A NOTAM WAS ISSUED AT XA48 OR AT THE TIME OF OUR ENG RUN-UP. AFTER TAXI AND ENG RUN AND PROPER ANNOUNCEMENT ON THE CTAF 123.0 MY STUDENT TOOK RWY 26 FOR DEP. THERE WAS ACFT ENG ROUGHNESS AND THE TKOF WAS ABORTED. AFTER EXITING THE RWY WE WERE TOLD VIA THE CTAF THAT THE ARPT WAS NOTAM CLOSED. SUM: AS IS MY STANDARD PROFESSIONAL PRACTICE I CALLED FOR AND RECEIVED A FULL STANDARD BRIEFING 18 MINS PRIOR TO THE NOTAM BEING ISSUED. WE ATTEMPTED TO DEPART 2 MINS AFTER THE NOTAM WAS PUT ON FILE WITH FLT SVC. THERE WAS NO WAY FOR MY STUDENT OR I TO BE AWARE OF THE NOTAM. WE USED STANDARD COMS VIA THE CTAF WITH NO CHALLENGE FROM SNOW REMOVAL CREW NOR THE ARPT MGR. IT SHOULD BE NOTED THAT ANOTHER ACFT DEPARTED MOMENTS PRIOR TO OUR ATTEMPTED DEP. RECOMMENDATION FOR SAFETY IMPROVEMENT: NOTAMS SHOULD BE TIMELY COMMUNICATED BY THE ARPT MGR TO THE 2 FBO'S ON FIELD. THE PLT IS RESPONSIBLE FOR GETTING A FULL STANDARD BRIEFING AND OBTAINING ANY PERTINENT NOTAMS. AS NOTED ABOVE DESPITE THE BEST PROFESSIONAL EFFORTS THERE CAN BE TIMING ISSUES. THE SNOW REMOVAL CREW AS WELL AS ARPT MGR SHOULD BE CONTINUOUSLY MONITORING THE CTAF FOR ACFT ATTEMPTING TO LAND OR DEPART THE ARPT DURING TIMES OF SNOW REMOVAL.