Since Google does worry about the page load speed of websites. Maybe you checked the loading time of your website checked with PageSpeed Insights from Google and you want to have your graphic files with lossless compression.
You also want to let your website load very quickly in the browser of your visitor. Because users of your website don't want to wait any second longer as necessary. They will leave your website if it's has a long load time. And another advantage: Google can crawl your WebPages faster, that means Google crawl more pages in a same time-segment.
To get the smallest jpg files for your website you can use the free FastStone PhotoResizer.
To get the smallest files without quality loss with this program you need to set some settings right.
The JPEG Format Settings
Set the Quality to 75 percent.
Photometric settings: make no change.
Color Subsampling can be set to High (Smaller File Size).
Smooting: 0 to avoid blurry images.
Check on the Optimize Huffman table.
Check on the Progressive mode. This option let the browser load jpg files in phases from the website, and makes the files much smaller.
Uncheck the Keep EXIF / IPTC Data.
Check on Use Advance Options and click it to set the options
If necessary resize them to a smaller size.
Set the filter to Lanczos2 (Sharper), for no quality loss.
Set the DPI to 96 or 72 for x and y, there's no need to set this higher because a computer screen have a maximum of 96 dpi that they can display, and a website is always seen on a computer screen. The web is not made to be printed. Now you can save the options to a file and load this settings at any time.
Speed is everything
Now you know to make the smallest and fastest jpg files for your website. A big improvement for your website load speed means also more visitors that stay on your website and a less loading time means that visitors read more pages in less time because they don't need to wait for loading big jpg files.
You also want to let your website load very quickly in the browser of your visitor. Because users of your website don't want to wait any second longer as necessary. They will leave your website if it's has a long load time. And another advantage: Google can crawl your WebPages faster, that means Google crawl more pages in a same time-segment.
To get the smallest jpg files for your website you can use the free FastStone PhotoResizer.
To get the smallest files without quality loss with this program you need to set some settings right.
The JPEG Format Settings
Set the Quality to 75 percent.
Photometric settings: make no change.
Color Subsampling can be set to High (Smaller File Size).
Smooting: 0 to avoid blurry images.
Check on the Optimize Huffman table.
Check on the Progressive mode. This option let the browser load jpg files in phases from the website, and makes the files much smaller.
Uncheck the Keep EXIF / IPTC Data.
Check on Use Advance Options and click it to set the options
If necessary resize them to a smaller size.
Set the filter to Lanczos2 (Sharper), for no quality loss.
Set the DPI to 96 or 72 for x and y, there's no need to set this higher because a computer screen have a maximum of 96 dpi that they can display, and a website is always seen on a computer screen. The web is not made to be printed. Now you can save the options to a file and load this settings at any time.
Speed is everything
Now you know to make the smallest and fastest jpg files for your website. A big improvement for your website load speed means also more visitors that stay on your website and a less loading time means that visitors read more pages in less time because they don't need to wait for loading big jpg files.