Delete List Template in SharePoint using PowerShell

Requirement:  Delete a list template in SharePoint

How to delete a list template SharePoint?
To remove list template in SharePoint,

• Login to your SharePoint site collection (List templates are scoped at site collection level) >> Click on Settings >> Site Settings
• On Site Settings Page, Click on "List Templates" under Web Designer Galleries (http://yoursite.com/_catalogs/lt)
• Select the list template to delete and click on "Delete Document" from the ribbon
• Confirm the prompt to delete custom list template in SharePoint.
  

Delete list template in SharePoint 2013 using PowerShell
Here is how to delete SharePoint list templates using PowerShell script:

Add-PSSnapin Microsoft.SharePoint.PowerShell -ErrorAction SilentlyContinue

#Variables for Site URL and List template name
$SiteURL="http://intranet.crescent.com/sites/sales/"
$ListTemplateName ="Project Health.stp"

#Get Site and List Template Folder objects
$site = Get-SPSite $SiteURL
$ListTemplateFolder = $site.RootWeb.GetFolder("_catalogs/lt")

#Find the Specific List template and delete
$ListTemplate = $ListTemplateFolder.Files | Where-Object { $_.Name -eq $ListTemplateName }

if($ListTemplate)
 {
    $ListTemplate.Recycle()
    #To permanently delete, call: $ListTemplate.delete();
    write-output "Deleted List template!" 
 }