Airlines have canceled nearly a third of Wednesday’s flights in and out of Logan International Airport, 241 in all, due to the storm, which ended up dropping just a few inches of snow on Boston overnight but more than a foot of snow south of the city.

Carriers expect to be running all their flights by early afternoon, which means Thursday morning’s schedule will be intact, according to the Massachusetts Port Authority, which runs Logan.

Across the Northeast, more than 1,600 flights, about 23 percent of Wednesday’s operations, have been cut at eight major airports, according to FlightView, the Newton-based flight information company.

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LaGuardia Airport has the highest share of cancellations, at 36 percent, followed by Logan and Newark at 28 percent.

On Tuesday, 283 flights, about 31 percent, were scrapped at Logan, fewer than at the region’s other large airports. Overall, 3,211 flights, or nearly 43 percent, were canceled at the Northeast’s major airports Tuesday.