diff --git a/L/libsemigroups/build_tarballs.jl b/L/libsemigroups/build_tarballs.jl
new file mode 100644
index 00000000000..3361b123a6a
--- /dev/null
+++ b/L/libsemigroups/build_tarballs.jl
@@ -0,0 +1,64 @@
+using BinaryBuilder, Pkg
+
+const YGGDRASIL_DIR = "../.."
+include(joinpath(YGGDRASIL_DIR, "platforms", "macos_sdks.jl"))
+
+name = "libsemigroups"
+version = v"3.4.0"
+
+# Collection of sources required to complete build
+sources = [
+    GitSource("https://github.com/libsemigroups/libsemigroups.git",
+              "6b63b74b37ad8d5fe0be82b3225e048d95b3eb2c"),  # v3.4.0
+]
+
+# Bash recipe for building across all platforms
+script = raw"""
+cd $WORKSPACE/srcdir/libsemigroups
+
+# Generate configure script
+./autogen.sh
+export CPPFLAGS="-I${prefix}/include"
+
+# Disable HPCombi on 32-bit platforms (requires __int128)
+HPCOMBI_FLAG=""
+if [[ "${nbits}" == 32 ]] || [[ "${target}" == powerpc* ]]; then
+    HPCOMBI_FLAG="--disable-hpcombi"
+fi
+
+./configure --prefix=${prefix} \
+            --build=${MACHTYPE} \
+            --host=${target} \
+            --enable-shared \
+            --disable-static \
+            ${HPCOMBI_FLAG}
+
+# Build and install (V=1 for verbose link commands)
+make V=1 -j${nproc}
+make install
+
+install_license LICENSE
+"""
+
+sources, script = require_macos_sdk("10.14", sources, script)
+
+# These are the platforms we will build for by default
+platforms = supported_platforms()
+platforms = expand_cxxstring_abis(platforms)
+
+# The products that we will ensure are always built
+products = [
+    LibraryProduct("libsemigroups", :libsemigroups),
+]
+
+# Dependencies that must be installed before this package can be built
+dependencies = [
+    # For the C++ compiler
+    Dependency(PackageSpec(name="CompilerSupportLibraries_jll")),
+]
+
+# Build the tarballs, and possibly a `build.jl` as well
+build_tarballs(ARGS, name, version, sources, script, platforms, products, dependencies;
+               julia_compat="1.7",
+               preferred_gcc_version=v"10",
+               clang_use_lld=false)