Magento 2.2.7

I have to output category name and "tree" or path for product.
For instance if my product is in category Lg775 my output should be:
Hardware/Motherboards/Intel/Lg775

so far I have this code that gives me category ID:

 //Load the product categories
 $categories = $product_data->getCategoryIds();
 //Select the last category in the list
 $categoryId = end($categories); 

Thank you all Magento experts for all the help so far! I really appreciate it :)

UPDATE - Solved

So I used the answer I checked however I had to modify the code so here is my code how to get full category path for "categoryID"

<?php

namespace VendorModuleHelper;


class CategoryTree 

 /**
 * @var MagentoStoreModelStoreManagerInterface
 */
 private $storeManager;

 /**
 * @var MagentoCatalogApiCategoryRepositoryInterface
 */
 private $categoryRepository;

 /**
 * @var MagentoCatalogModelResourceModelCategoryTree
 */
 private $tree;

 public function __construct(
 MagentoCatalogApiCategoryRepositoryInterface $categoryRepository,
 MagentoCatalogModelResourceModelCategoryTree $tree,
 MagentoStoreModelStoreManagerInterface $storeManager) 
 $this->tree = $tree;
 $this->categoryRepository = $categoryRepository;
 $this->storeManager = $storeManager;
 // end of function __construct


 public function getTreeByCategoryId($categoryId)
 
 $storeId = $this->storeManager->getStore()->getId();
 $category = $this->categoryRepository->get($categoryId, $storeId);
 $categoryTree = $this->tree->setStoreId($storeId)->loadBreadcrumbsArray($category->getPath());

 $categoryTreepath = array();
 foreach($categoryTree as $eachCategory)
 echo $eachCategory['name'];
 $categoryTreepath[] = $eachCategory['name'];
 
 $categoryTree = implode(" &gt; ",$categoryTreepath);
 return $categoryTree;
 // end of function getTreeByCategoryId

 // end of class

later I called that class like this:

 $categoryObject=MagentoFrameworkAppObjectManager::getInstance();
 $category=$categoryObject->create('VendorModuleHelperCategoryTree');
 $categoryTreepath=$category->getTreeByCategoryId($categoryId);
 var_dump($categoryTreepath);

The result was just what I needed :) Thank you all!

If you want to get a particular category tree you have to use below method

MagentoCatalogModelResourceModelCategoryTree::loadBreadcrumbsArray($path,
$addCollectionData = true, $withRootNode = false);

As per this method definition, you have to provide category path $path, of your category instead category ID.

So, first, you have to get category path by category id then load and after that get category tree by tree.

Code:

<?php

namespace StackExchangeMagentoModel;


class CategoryTree 

 /**
 * @var MagentoStoreModelStoreManagerInterface
 */
 private $storeManager;

 /**
 * @var MagentoCatalogApiCategoryRepositoryInterface
 */
 private $categoryRepository;

 /**
 * @var MagentoCatalogModelResourceModelCategoryTree
 */
 private $tree;

 public function __construct(
 MagentoCatalogApiCategoryRepositoryInterface $categoryRepository,
 MagentoCatalogModelResourceModelCategoryTree $tree ,
 MagentoStoreModelStoreManagerInterface $storeManager 
 ) 

 $this->tree = $tree;
 $this->categoryRepository = $categoryRepository;
 $this->storeManager = $storeManager;
 
 public function getTreeByCategoryId()
 
 $storeId = $this->storeManager->getStore()->getId();
 $categoryId = 45;
 $category = $this->categoryRepository->get($categoryId, $storeId);
 $categoryTree = $this->tree->setStoreId($storeId)->loadBreadcrumbsArray($category->getPath());

 $categoryTreepath = '';
 foreach($categoryTree as $eachCategory)
 echo $category['name'];
 echo '<pre>';
 print_r($eachCategory);
 $categoryTreepath = $categoryTreepath. '/'.$category['name'];
 
 

You can get breaducrum of category by category Id using MagentoCatalogModelCategoryFactory as follows:

...
protected $_categoryFactory;
...
public function __construct(
 MagentoCatalogModelCategoryFactory $categoryFactory
) 
 $this->_categoryFactory = $categoryFactory;


public function execute() 
 //Load the product categories
 $categories = $product_data->getCategoryIds();
 //Select the last category in the list
 $categoryId = end($categories);
 $category = $this->_categoryFactory->create()->load($categoryId);
 // Parent Categories
 $parentCategories = $category->getParentCategories();

 foreach ($parentCategories as $cat) 
 echo $cat->getId() . ": " . $cat->getName() . " :: " . $cat->getUrl() . "<br />";
 

I hope this may helpful to anyone!