How to get last build date of a job from Jenkins in Java
As Harshavardhan Konakanchi mentioned in his answer there's the /lastBuild/
URL path. You can get exactly the information you want by using:
<JENKINS_URL>/job/<JOB_NAME>/lastBuild/api/json?tree=timestamp
Example output:
{"timestamp":1467898403630}
See <JENKINS_URL>/job/<JOB_NAME>/lastBuild/api/
for a description of the API.