Comment 38 for bug 1498059

I tested an Ubuntu server w/Utopic HWE install tonight and all seemed to go well:

hwe-support-status --show-all-unsupported
linux-image-3.16.0-77-generic linux-image-generic-lts-utopic
linux-headers-generic-lts-utopic linux-image-extra-3.16.0-30-generic
linux-generic-lts-utopic linux-image-3.16.0-30-generic
linux-image-extra-3.16.0-77-generic

hwe-support-status --show-replacements
linux-image-generic-lts-xenial linux-generic-lts-xenial

hwe-support-status --verbose
WARNING: Security updates for your current Hardware Enablement
Stack ended on 2016-08-04:
 * http://wiki.ubuntu.com/1404_HWE_EOL

To upgrade to a supported (or longer-supported) configuration:

* Upgrade from Ubuntu 14.04 LTS to Ubuntu 16.04 LTS by running:
sudo do-release-upgrade

OR

* Switch to the current security-supported stack by running:
sudo apt-get install linux-image-generic-lts-xenial linux-generic-lts-xenial

and reboot your system.

The applicable bits from apt.history:

Start-Date: 2016-08-12 21:36:06
Commandline: apt-get install update-manager-core
Upgrade: update-manager-core:amd64 (0.196.14, 0.196.18), python3-update-manager:amd64 (0.196.14, 0.196.18)
End-Date: 2016-08-12 21:36:11

Start-Date: 2016-08-12 21:53:36
Commandline: apt-get install linux-image-generic-lts-xenial linux-generic-lts-xenial
Install: linux-headers-4.4.0-34-generic:amd64 (4.4.0-34.53~14.04.1, automatic), linux-image-4.4.0-34-generic:amd64 (4.4.0-34.53~14.04.1, automatic), linux-headers-4.4.0-34:amd64 (4.4.0-34.53~14.04.1, automatic), linux-generic-lts-xenial:amd64 (4.4.0.34.24), thermald:amd64 (1.4.3-5~14.04.4, automatic), linux-headers-generic-lts-xenial:amd64 (4.4.0.34.24, automatic), linux-image-extra-4.4.0-34-generic:amd64 (4.4.0-34.53~14.04.1, automatic), linux-image-generic-lts-xenial:amd64 (4.4.0.34.24)
End-Date: 2016-08-12 22:11:44