It was so powerful that the tanker truck had one end of it blown open, according to the newspaper.
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One home was damaged by flames caused by the explosion. A mother and her teenage daughter were injured in the blast, KTLA reported.
One had burns to 30 percent of her body, the other was cut by glass broken by the explosion, the LA Times reported.
Officials said the tanker truck was located on land that had been used as a recycling center in the past, but the property's owner was using it as storage. The tanker had been there for less than a month, according to the LA Times.
Seventy-two firefighters took two hours to put out the flames and a hazardous materials unit was called in, KTLA and CNN reported.