I came across a small photoset (four images) at USC earlier, which shows 8th Street between Hope and Flower Streets in 1932. This one is looking west across Flower Street from just west of Hope Street.
USC Digital Library
The guy on the right, directly under the "CONGRESS" blade sign, caught my eye, so I zoomed in. The only lawn mower sharpener I can see in the 1932 CD is Frank E Houghtaling, with a business address at 8120 S Vermont Avenue and a home address at 610 W 46th Street. I assume the sharpener also did knives, because I can't imagine that there were many lawn mowers at 8th and Flower!
Detail of picture above
For search purposes:
First English Evangelical Lutheran Church, 800 S Flower Street
Sawyer School Of Business, 812 W 8th Street
Medico-Dental Building, 947 W 8th Street
Abbey Hotel, 825 W 8th Street
Congress Hotel, 729 W 8th Street