* New vs. Used: A new engine will cost significantly more than a used one. The condition of the used engine (hours flown, maintenance history) will also dramatically impact price.
* Variant: The CFM56-5 family includes several sub-variants (-5A, -5B, -5C, etc.) with slightly different specifications and therefore different costs.
* Supplier: Buying directly from CFM International (a joint venture of GE and Safran) will likely be different from buying a used engine from a broker or parts reseller.
* Included Services: The price may or may not include associated components, installation, maintenance contracts, or other services.
While exact pricing is confidential and varies greatly, you can expect the cost of a new CFM56-5 engine to be in the range of tens of millions of US dollars. A used engine could range from a fraction of that cost to still several million dollars depending on its condition and remaining lifespan.
To get a precise quote, you would need to contact engine manufacturers, leasing companies, or specialized aircraft parts brokers.