The picture of this battery has a different model number. Can you confirm that this battery is L18M4P72?

Yes, the product title confirms that this battery is L18M4P72.

Questions & Answers: L18M4P72 51Wh Battery for Lenovo ThinkPad X1 Carbon 7th/8th Gen & X1 Yoga 4th/5th Gen L18L4P71, L18C4P71, 02DL006 Li-ion 15.36V 4-Cell Laptop Battery

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L18M4P72 51Wh Battery for Lenovo ThinkPad X1 Carbon 7th/8th Gen & X1 Yoga 4th/5th Gen L18L4P71, L18C4P71, 02DL006 Li-ion 15.36V 4-Cell Laptop Battery

High Compatibility & Genuine Replacement
This original-grade 51Wh Li-ion battery is a perfect replacement for Lenovo ThinkPad X1 Carbon (7th & 8th Gen) and X1 Yoga (4th & 5th Gen) laptops. It matches the exact specifications of OEM batteries, ensuring safe and reliable performance.