Installing Mac OS X with a different disc

I have a MacBook Pro that came with OS X 10.6. I have since lost the disc and need to reinstall the Mac OS X. I have another disc on it’s way from Apple but I could do with using my computer in the meantime.

A friend of mine has a slightly newer Macbook Pro, also with OS X 10.6. I have tried using his OS disc but I get the message:

Mac OS X can’t be installed on this computer.

Seeing as it's a MacBook I don’t think this message is entirely accurate! Is there a way around this?

Someone suggested that this may happen if the HDD was formatted incorrectly. I have formatted it as Mac OS Extended (Journaled) but this didn’t make any difference.

According to Using OS X Install CDs/DVDs On Multiple Macs in Apple's User Tips Library:

System software installation CDs/DVDs, that come with a particular Mac model, are hardware specific to that model, and not intended to be used on other Mac models.

The DVD for OS X 10.4.6 Tiger, as shipped with the first generation May 2006 Intel MacBook, is apparently build number 8L2025, and that's the only "hardware bundle" disc that can be used on those models, apart from retail upgrades. See also Apple's What's a "computer-specific Mac OS X release"?, and a list of build numbers on The Apple Museum.

(I cannot find that build number on the disc itself. A label like 2Z691-5788-A on the above-mentioned May 2006 MacBook 10.4.6 disc seems to be some part number instead. Likewise, a 10.5 disc that came with a February 2008 Mac mini is labelled 2Z691-6150-A. On the same discs, AHT version 3A104 and AHT version 3A137 labels refer to the version of the Apple Hardware Test software.)