The typical asking rate per listing is in the $20's per square foot per year. The East Los Angeles submarket is going through a a boost in rates. In the last 3 months, the median rate increased $25 per sqft per year.
Compared to the rest of the Metropolitan Los Angeles market, the East Los Angeles region has smaller rates, so you should have no trouble finding a great deal in this depreciated region.
In the last 90 days, 3 listings have been listed, which means spaces might be leasing quickly. You'll want to be prepared to make an offer immediately. There aren't many listings below 2,000 square feet posted, so finding a space for a small business might be tough.
The standard measurement for office space in this area is around 530 sqft. Most properties in this area are close to 1 floors. Most buildings in this region were built in 1948 and are Class B.