diff --git a/tools/toolchains/arm.py b/tools/toolchains/arm.py
index 88db704132..7b2b6090ab 100644
--- a/tools/toolchains/arm.py
+++ b/tools/toolchains/arm.py
@@ -82,16 +82,11 @@ class ARM(mbedToolchain):
             if "--library_type=microlib" not in self.flags['common']:
                 self.flags['common'].append("--library_type=microlib")
 
-        if target.core == "Cortex-M0+":
-            cpu = "Cortex-M0"
-        elif target.core == "Cortex-M4F":
-            cpu = "Cortex-M4.fp"
-        elif target.core == "Cortex-M7FD":
-            cpu = "Cortex-M7.fp.dp"
-        elif target.core == "Cortex-M7F":
-            cpu = "Cortex-M7.fp.sp"
-        else:
-            cpu = target.core
+        cpu = {
+            "Cortex-M0+": "Cortex-M0plus",
+            "Cortex-M4F": "Cortex-M4.fp.sp",
+            "Cortex-M7F": "Cortex-M7.fp.sp",
+            "Cortex-M7FD": "Cortex-M7.fp.dp"}.get(target.core, target.core)
 
         ARM_BIN = join(TOOLCHAIN_PATHS['ARM'], "bin")
 
@@ -559,38 +554,31 @@ class ARMC6(ARM_STD):
         self.SHEBANG += " -mcpu=%s" % cpu
 
         # FPU handling
-        if core == "Cortex-M4F":
+        if core == "Cortex-M4" or core == "Cortex-M7" or "core" == "Cortex-M33":
+            self.flags['common'].append("-mfpu=none")
+        elif core == "Cortex-M4F":
             self.flags['common'].append("-mfpu=fpv4-sp-d16")
             self.flags['common'].append("-mfloat-abi=hard")
-            self.flags['ld'].append("--cpu=cortex-m4")
-        elif core == "Cortex-M7F":
+        elif core == "Cortex-M7F" or core.startswith("Cortex-M33F"):
             self.flags['common'].append("-mfpu=fpv5-sp-d16")
             self.flags['common'].append("-mfloat-abi=hard")
-            self.flags['ld'].append("--cpu=cortex-m7.fp.sp")
         elif core == "Cortex-M7FD":
             self.flags['common'].append("-mfpu=fpv5-d16")
             self.flags['common'].append("-mfloat-abi=hard")
-            self.flags['ld'].append("--cpu=cortex-m7")
-        elif core == "Cortex-M33F":
-            self.flags['common'].append("-mfpu=fpv5-sp-d16")
-            self.flags['common'].append("-mfloat-abi=hard")
-            self.flags['ld'].append("--cpu=cortex-m33.no_dsp")
-        elif core == "Cortex-M33":
-            self.flags['common'].append("-mfpu=none")
-            self.flags['ld'].append("--cpu=cortex-m33.no_dsp.no_fp")
-        else:
-            self.flags['ld'].append("--cpu=%s" % cpu)
 
-        asm_cpu = {
-            "Cortex-M0+": "Cortex-M0",
-            "Cortex-M4F": "Cortex-M4.fp",
+        asm_ld_cpu = {
+            "Cortex-M0+": "Cortex-M0plus",
+            "Cortex-M4": "Cortex-M4.no_fp",
+            "Cortex-M4F": "Cortex-M4",
+            "Cortex-M7": "Cortex-M7.no_fp",
             "Cortex-M7F": "Cortex-M7.fp.sp",
-            "Cortex-M7FD": "Cortex-M7.fp.dp",
+            "Cortex-M7FD": "Cortex-M7",
             "Cortex-M33": "Cortex-M33.no_dsp.no_fp",
             "Cortex-M33F": "Cortex-M33.no_dsp",
             "Cortex-M33FE": "Cortex-M33"}.get(core, core)
 
-        self.flags['asm'].append("--cpu=%s" % asm_cpu)
+        self.flags['asm'].append("--cpu=%s" % asm_ld_cpu)
+        self.flags['ld'].append("--cpu=%s" % asm_ld_cpu)
 
         self.cc = ([join(TOOLCHAIN_PATHS["ARMC6"], "armclang")] +
                    self.flags['common'] + self.flags['c'])
diff --git a/tools/toolchains/gcc.py b/tools/toolchains/gcc.py
index 22c0e3c72c..6ee7e8a4d2 100644
--- a/tools/toolchains/gcc.py
+++ b/tools/toolchains/gcc.py
@@ -78,11 +78,14 @@ class GCC(mbedToolchain):
             "Cortex-M4F": "cortex-m4",
             "Cortex-M7F": "cortex-m7",
             "Cortex-M7FD": "cortex-m7",
+            "Cortex-M33": "cortex-m33+nodsp",
             "Cortex-M33F": "cortex-m33+nodsp",
             "Cortex-M33FE": "cortex-m33"}.get(core, core)
 
-        if core == "Cortex-M33":
+        if cpu == "cortex-m33+nodsp":
             self.cpu.append("-march=armv8-m.main")
+        elif cpu == "cortex-m33":
+            self.cpu.append("-march=armv8-m.main+dsp")
         else:
             self.cpu.append("-mcpu={}".format(cpu.lower()))
 
@@ -93,15 +96,12 @@ class GCC(mbedToolchain):
         if core == "Cortex-M4F":
             self.cpu.append("-mfpu=fpv4-sp-d16")
             self.cpu.append("-mfloat-abi=softfp")
-        elif core == "Cortex-M7F":
+        elif core == "Cortex-M7F" or core.startswith("Cortex-M33F"):
             self.cpu.append("-mfpu=fpv5-sp-d16")
             self.cpu.append("-mfloat-abi=softfp")
         elif core == "Cortex-M7FD":
             self.cpu.append("-mfpu=fpv5-d16")
             self.cpu.append("-mfloat-abi=softfp")
-        elif core.startswith("Cortex-M33F"):
-            self.cpu.append("-mfpu=fpv5-sp-d16")
-            self.cpu.append("-mfloat-abi=softfp")
 
         if target.core == "Cortex-A9":
             self.cpu.append("-mthumb-interwork")
diff --git a/tools/toolchains/iar.py b/tools/toolchains/iar.py
index 2a25825d0b..14e886ca38 100644
--- a/tools/toolchains/iar.py
+++ b/tools/toolchains/iar.py
@@ -69,8 +69,8 @@ class IAR(mbedToolchain):
                 self.flags["ld"] += ["--import_cmse_lib_out=%s" % secure_file]
 
         cpu = {
-            "Cortex-M7FD": "Cortex-M7.fp.dp",
             "Cortex-M7F": "Cortex-M7.fp.sp",
+            "Cortex-M7FD": "Cortex-M7.fp.dp",
             "Cortex-M33": "Cortex-M33.no_dsp",
             "Cortex-M33F": "Cortex-M33.fp.no_dsp",
             "Cortex-M33FE": "Cortex-M33.fp"}.get(core, core)