The typical asking rate per listing is in the $20's per square foot per year. The Lawndale region is experiencing a a boost in rates. In the last 3 months, the median rate rose $25 per sqft per year.
Compared to the rest of the Metropolitan Los Angeles market, the Lawndale submarket has less expensive rates, so you should have no trouble finding a great deal in this depreciated region.
In the last 90 days, 1 listings have come on the market, which means listings most likley are going fast. You'll want to be prepared to tour spaces as quick as possible. There aren't many listings below 2,000 square feet available, so finding a space for a small business might be tough.
The standard measurement for office space in this area is around 1,240 sqft. Most properties in this region are around 1 floors. Most buildings in this market were built in 1960 and are Class B.