lightdm-kde-greeter software package provides LightDM KDE greeter, you can install in your Ubuntu 14.04 LTS (Trusty Tahr) by running the commands given below on the terminal,
$ sudo apt-get update $ sudo apt-get install lightdm-kde-greeter
lightdm-kde-greeter is installed in your system.
Make ensure the lightdm-kde-greeter package were installed using the commands given below,
$ sudo dpkg-query -l | grep lightdm-kde-greeter *
You will get with lightdm-kde-greeter package name, version, architecture and description in a table
| Distro | Ubuntu 14 04 lts trusty tahr |
| Section | KDE |
| Package | lightdm-kde-greeter |
| Version | 0.3.2.2-0ubuntu1 |
| Description | LightDM KDE greeter |
| Sub Section | KDE |