Hi,
You can have multiple Application Insights instances tied to a single Log Analytics workspace. In general, you should have one Application Insights instance per app. If you have some apps that are tightly coupled together like running on the same instances, communicating between each other (via internal channels and not via public REST APIs for example), etc. in that case might be better to have one Application Insights instance for that set of apps. As Log Analytics and App insights are regional resources you could go with multiple instances of Log Analytics in case you have some regional requirements.
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