Linux Exploit Suggester (LES) is a privilege escalation auditing tool that analyzes Linux kernels and Linux-based systems for security vulnerabilities. The tool uses heuristic methods to assess kernel exposure to publicly known Linux kernel exploits. LES provides detailed vulnerability information including CVE identifiers, exposure likelihood assessments, and information about affected Linux distributions. The tool assists security professionals in identifying potential privilege escalation vectors by examining the target system's kernel version and configuration against known exploit databases. The tool operates by comparing system characteristics against a database of known Linux kernel vulnerabilities and exploits. It generates reports that help users understand which publicly available exploits may be effective against the analyzed system, supporting both defensive security assessments and penetration testing activities.