diff --git a/Configure.cmake b/Configure.cmake
index e23f577..c7b5023 100644
--- a/Configure.cmake
+++ b/Configure.cmake
@@ -55,9 +55,15 @@ endif()
 find_library(LIB_MPFR mpfr)
 if(SLEEF_BUILD_WITH_LIBM)
   find_library(LIBM m)
+  if(LIBM)
+    set(LIBM "m" CACHE INTERNAL "")
+  endif()
 endif()
 find_library(LIBGMP gmp)
 find_library(LIBRT rt)
+if(LIBRT)
+  set(LIBRT "rt" CACHE INTERNAL "")
+endif()
 
 find_library(LIBFFTW3 fftw3)
 find_library(LIBFFTW3F fftw3f)
diff --git a/sleefConfig.cmake b/sleefConfig.cmake
index 6e423f2..4d415ab 100644
--- a/sleefConfig.cmake
+++ b/sleefConfig.cmake
@@ -1 +1,5 @@
+if("@COMPILER_SUPPORTS_OPENMP@")
+    include(CMakeFindDependencyMacro)
+    find_dependency(OpenMP)
+endif()
 include("${CMAKE_CURRENT_LIST_DIR}/sleefTargets.cmake")
diff --git a/src/dft/CMakeLists.txt b/src/dft/CMakeLists.txt
index 15bee24..526c4f8 100644
--- a/src/dft/CMakeLists.txt
+++ b/src/dft/CMakeLists.txt
@@ -216,8 +216,8 @@ endif()
 
 # Compiler properties
 
-set(CMAKE_C_FLAGS "${ORG_CMAKE_C_FLAGS} ${DFT_C_FLAGS} ${OpenMP_C_FLAGS}")
-set(CMAKE_CXX_FLAGS "${ORG_CMAKE_C_FLAGS} ${DFT_C_FLAGS} ${OpenMP_C_FLAGS}")
+set(CMAKE_C_FLAGS "${ORG_CMAKE_C_FLAGS} ${DFT_C_FLAGS}")
+set(CMAKE_CXX_FLAGS "${ORG_CMAKE_C_FLAGS} ${DFT_C_FLAGS}")
 
 if(MSVC)
   set(CMAKE_CXX_FLAGS "${CMAKE_CXX_FLAGS} /EHsc")
@@ -414,7 +414,7 @@ endforeach()
 # Target libdft
 
 add_library(${TARGET_LIBDFT} $<TARGET_OBJECTS:dftcommon_obj> $<TARGET_OBJECTS:dft_obj> ${UNROLL_OBJECTS})
-target_link_libraries(${TARGET_LIBDFT} ${TARGET_LIBSLEEF} ${LIBM})
+target_link_libraries(${TARGET_LIBDFT} PRIVATE ${TARGET_LIBSLEEF} OpenMP::OpenMP_C ${LIBM})
 
 set_target_properties(${TARGET_LIBDFT} PROPERTIES
   VERSION ${SLEEF_VERSION}
diff --git a/src/libm/CMakeLists.txt b/src/libm/CMakeLists.txt
index 8969ba2..25aef5b 100644
--- a/src/libm/CMakeLists.txt
+++ b/src/libm/CMakeLists.txt
@@ -682,7 +682,8 @@ endif(SLEEF_BUILD_INLINE_HEADERS)
 # use some of the math functions used in the scalar code (for example
 # sqrt).
 if(LIBM AND NOT COMPILER_SUPPORTS_BUILTIN_MATH)
-  target_link_libraries(${TARGET_LIBSLEEF} ${LIBM})
+  target_link_libraries(${TARGET_LIBSLEEF} PRIVATE ${LIBM})
+  string(APPEND PC_LIBS_PRIVATE " -lm")
 endif()
 
 target_sources(${TARGET_LIBSLEEF} PRIVATE $<TARGET_OBJECTS:${TARGET_LIBCOMMON_OBJ}>)
@@ -907,7 +908,7 @@ if(ENABLE_GNUABI)
 # libm to use some of the math functions used in the scalar code (for
 # example sqrt).
 if(LIBM AND NOT COMPILER_SUPPORTS_BUILTIN_MATH)
-  target_link_libraries(${TARGET_LIBSLEEFGNUABI} ${LIBM})
+  target_link_libraries(${TARGET_LIBSLEEFGNUABI} PRIVATE ${LIBM})
 endif()
 endif(ENABLE_GNUABI)
 
diff --git a/src/libm/sleef.pc.in b/src/libm/sleef.pc.in
index f73bc14..b36ccad 100644
--- a/src/libm/sleef.pc.in
+++ b/src/libm/sleef.pc.in
@@ -7,3 +7,4 @@ Description: SIMD Library for Evaluating Elementary Functions, vectorized libm a
 Version: @SLEEF_VERSION_MAJOR@.@SLEEF_VERSION_MINOR@.@SLEEF_VERSION_PATCH@
 Cflags: -I${includedir}
 Libs: -L${libdir} -lsleef
+Libs.private: @PC_LIBS_PRIVATE@
diff --git a/src/quad/CMakeLists.txt b/src/quad/CMakeLists.txt
index 8e4e261..cda4799 100644
--- a/src/quad/CMakeLists.txt
+++ b/src/quad/CMakeLists.txt
@@ -226,7 +226,7 @@ set_target_properties(sleefquad PROPERTIES
 set_target_properties(sleefquad PROPERTIES ${COMMON_TARGET_PROPERTIES})
 
 if(LIBM AND ((NOT COMPILER_SUPPORTS_BUILTIN_MATH) OR (SLEEF_ARCH_32BIT AND SLEEF_ARCH_X86)))
-  target_link_libraries(sleefquad ${LIBM})
+  target_link_libraries(sleefquad PRIVATE ${LIBM})
 endif()
 
 # --------------------------------------------------------------------