diff --git a/libc/CMakeLists.txt b/libc/CMakeLists.txt
index 38fe16a3c26c7..5c6df6e5a0d37 100644
--- a/libc/CMakeLists.txt
+++ b/libc/CMakeLists.txt
@@ -168,8 +168,6 @@ set(LIBC_COMPONENT)
 set(LIBC_INSTALL_DEPENDS)
 set(LIBC_INSTALL_TARGET)
 if(LLVM_LIBC_FULL_BUILD)
-  set(LIBC_TARGET libc)
-  set(LIBC_COMPONENT libc)
   set(LIBC_INSTALL_DEPENDS "install-libc-static-archives;install-libc-headers")
   if(NOT LIBC_TARGET_OS_IS_BAREMETAL)
     # For now we will disable libc-startup installation for baremetal. The
@@ -177,17 +175,13 @@ if(LLVM_LIBC_FULL_BUILD)
     # and install it as part of the libc installation.
     list(APPEND LIBC_INSTALL_DEPENDS "libc-startup")
   endif()
-  set(LIBC_INSTALL_TARGET install-libc)
   if(LIBC_TARGET_ARCHITECTURE_IS_GPU)
     set(LIBC_ARCHIVE_NAME cgpu)
   else()
     set(LIBC_ARCHIVE_NAME c)
   endif()
 else()
-  set(LIBC_TARGET llvmlibc)
-  set(LIBC_COMPONENT llvmlibc)
   set(LIBC_INSTALL_DEPENDS install-libc-static-archives)
-  set(LIBC_INSTALL_TARGET install-llvmlibc)
   set(LIBC_ARCHIVE_NAME llvmlibc)
 endif()
 
@@ -230,7 +224,7 @@ if(LLVM_LIBC_FULL_BUILD)
 endif()
 
 add_llvm_install_targets(
-  ${LIBC_INSTALL_TARGET}
+  install-libc
   DEPENDS ${LIBC_INSTALL_DEPENDS}
-  COMPONENT ${LIBC_COMPONENT}
+  COMPONENT libc
 )
diff --git a/libc/lib/CMakeLists.txt b/libc/lib/CMakeLists.txt
index c91097d5bc7a7..b76fe41a22d36 100644
--- a/libc/lib/CMakeLists.txt
+++ b/libc/lib/CMakeLists.txt
@@ -1,10 +1,10 @@
 add_entrypoint_library(
-  ${LIBC_TARGET}
+  libc
   DEPENDS
   ${TARGET_LLVMLIBC_ENTRYPOINTS}
 )
 set_target_properties(
-  ${LIBC_TARGET}
+  libc
   PROPERTIES
     ARCHIVE_OUTPUT_NAME ${LIBC_ARCHIVE_NAME}
 )
@@ -19,13 +19,13 @@ else()
 endif()
 
 install(
-  TARGETS ${LIBC_TARGET}
+  TARGETS libc
   ARCHIVE DESTINATION ${LIBC_INSTALL_LIBRARY_DIR}
   COMPONENT libc-static-archives
 )
 
 add_llvm_install_targets(
   install-libc-static-archives
-  DEPENDS ${LIBC_TARGET}
+  DEPENDS libc
   COMPONENT libc-static-archives
 )