The quake caused some buildings to collapse, according to witnesses and Indonesia's meteorology agency.
According to Indonesia's meteorological agency, Thursday's natural disaster struck at a depth of 12.5 miles, originating several miles northwest of Lombok.
It said it didn't have the potential to cause a tsunami. The US Geological Survey has the tremor at a magnitude 5.9.
It was the third big quake to hit Lombok in little over a week.
The magnitude-6.2 tembor followed a 6.9 quake on Sunday that killed at least 131 people, damaged thousands of houses, and left 156,000 people homeless.
People are seen running out of Bali's Ngurah Rai International Airport, Indonesia August 9, 2018 in this still image taken from a video obtained from social media.
The quake killed more than 100 people in Lombok and injured hundreds of others, leaving thousands of locals homeless and tourists stranded.
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Reuters has reported collapsed buildings and widespread damage, likely compounding fresh damage from quakes which have already devastated the island this month.
Wiranto, Indonesia's top security minister, told reporters the death toll from Sunday's magnitude 7.0 quake had risen to 319.
Local authorities, global relief groups and the central government have begun organizing aid, but shattered roads have slowed efforts to reach survivors in the mountainous north and east of Lombok, which bore the brunt of the quake.
"We have no clean water, so if we want to go to the toilet we use a small river nearby", he said, adding they needed food, bedding and medicine.
The child was treated by health workers following her rescue.
It is the third quake to hit the island in under two weeks. "The grandson tried to help the grandmother to get out but he pushed too hard", she said. "I don't think people will choose Lombok anymore this summer".
Indonesia is located on the Pacific "Ring of Fire". In December 2004, a massive magnitude 9.1 natural disaster off Sumatra triggered a tsunami that killed 230,000 people in a dozen countries.