Download the Cub Cadet manual for that model or get it from a CC dealer. The size and part number certainly IS in the owners manual, it's in mine for the LT1050 and it's the same in the book
The number is 754-0461. I bought my replacement from Mchenry Power Equipment, through their Ebay sales and it cost $10.99 which is a very good price. It is a Sterns belt with the mfg number on it. It is an OEM spec belt.