Weird "cpu clock throttled" syslog message

I'm running an Intel NUC (8i7BEH Kit) with a Core i7. Here is the output of cat /proc/cpuinfo for the first of the 8 logical cores (to give you info on my CPU):

$ cat /proc/cpuinfo
processor       : 0
vendor_id       : GenuineIntel
cpu family      : 6
model           : 142
model name      : Intel(R) Core(TM) i7-8559U CPU @ 2.70GHz
stepping        : 10
microcode       : 0xb4
cpu MHz         : 732.289
cache size      : 8192 KB
physical id     : 0
siblings        : 8
core id         : 0
cpu cores       : 4
apicid          : 0
initial apicid  : 0
fpu             : yes
fpu_exception   : yes
cpuid level     : 22
wp              : yes
flags           : fpu vme de pse tsc msr pae mce cx8 apic sep mtrr pge mca cmov pat pse36 clflush dts acpi mmx fxsr sse sse2 ss ht tm pbe syscall nx pdpe1gb rdtscp lm constant_tsc art arch_perfmon pebs bts rep_good nopl xtopology nonstop_tsc cpuid aperfmperf tsc_known_freq pni pclmulqdq dtes64 monitor ds_cpl vmx est tm2 ssse3 sdbg fma cx16 xtpr pdcm pcid sse4_1 sse4_2 x2apic movbe popcnt tsc_deadline_timer aes xsave avx f16c rdrand lahf_lm abm 3dnowprefetch cpuid_fault epb invpcid_single pti ssbd ibrs ibpb stibp tpr_shadow vnmi flexpriority ept vpid fsgsbase tsc_adjust bmi1 avx2 smep bmi2 erms invpcid mpx rdseed adx smap clflushopt intel_pt xsaveopt xsavec xgetbv1 xsaves dtherm ida arat pln pts hwp hwp_notify hwp_act_window hwp_epp md_clear flush_l1d
bugs            : cpu_meltdown spectre_v1 spectre_v2 spec_store_bypass l1tf mds
bogomips        : 5424.00
clflush size    : 64
cache_alignment : 64
address sizes   : 39 bits physical, 48 bits virtual
power management:

(Didn't include the other 7 for brevity)

I notice in my /var/log/syslog, I am getting a lot of this kind of spam:

Aug 24 07:37:25 nami kernel: [2036132.760239] CPU4: Core temperature above threshold, cpu clock throttled (total events = 95846)
Aug 24 07:37:25 nami kernel: [2036132.760239] CPU0: Core temperature above threshold, cpu clock throttled (total events = 95846)
Aug 24 07:37:25 nami kernel: [2036132.760242] CPU0: Package temperature above threshold, cpu clock throttled (total events = 99770)
Aug 24 07:37:25 nami kernel: [2036132.760248] CPU4: Package temperature above threshold, cpu clock throttled (total events = 99770)
Aug 24 07:37:25 nami kernel: [2036132.760307] CPU1: Package temperature above threshold, cpu clock throttled (total events = 99770)
Aug 24 07:37:25 nami kernel: [2036132.760308] CPU2: Package temperature above threshold, cpu clock throttled (total events = 99770)
Aug 24 07:37:25 nami kernel: [2036132.760309] CPU5: Package temperature above threshold, cpu clock throttled (total events = 99770)
Aug 24 07:37:25 nami kernel: [2036132.760310] CPU6: Package temperature above threshold, cpu clock throttled (total events = 99770)
Aug 24 07:37:25 nami kernel: [2036132.760311] CPU7: Package temperature above threshold, cpu clock throttled (total events = 99770)
Aug 24 07:37:25 nami kernel: [2036132.760312] CPU3: Package temperature above threshold, cpu clock throttled (total events = 99770)
Aug 24 07:37:25 nami kernel: [2036132.761141] CPU4: Core temperature/speed normal
Aug 24 07:37:25 nami kernel: [2036132.761141] CPU0: Core temperature/speed normal
Aug 24 07:37:25 nami kernel: [2036132.761143] CPU5: Package temperature/speed normal
Aug 24 07:37:25 nami kernel: [2036132.761143] CPU4: Package temperature/speed normal
Aug 24 07:37:25 nami kernel: [2036132.761144] CPU1: Package temperature/speed normal
Aug 24 07:37:25 nami kernel: [2036132.761145] CPU0: Package temperature/speed normal
Aug 24 07:37:25 nami kernel: [2036132.761171] CPU3: Package temperature/speed normal
Aug 24 07:37:25 nami kernel: [2036132.761172] CPU7: Package temperature/speed normal
Aug 24 07:37:25 nami kernel: [2036132.761199] CPU2: Package temperature/speed normal
Aug 24 07:37:25 nami kernel: [2036132.761200] CPU6: Package temperature/speed normal

Based on the timestamps, this seems to happen exactly every 5 minutes. Here is the version info for my Ubuntu installation:

$ lsb_release -a
No LSB modules are available.
Distributor ID: Ubuntu
Description:    Ubuntu 18.04.2 LTS
Release:        18.04
Codename:       bionic

I am not sure if these errors are harmless. Even if they are, I'd like the logs to not be printed. To me it indicates some sort of hardware issue. But this causes a lot of turnover in my syslogs which obscures other important information. Can someone help me find a solution to the underlying issue? Or if there really isn't one, maybe explain why, and how to silence the logs?