The content is accurate at the time of publication and is subject to change.

No, you can't combine miles like that. It's easier with the members of the Miles&More program, which Lufthansa and Swiss are. Miles are usually not transferable to a different program with different terms & conditions.

If you are preoccupied with miles stored on different programs, then you should probably take care of your miles accrual. Getting a travel credit card will give you additional miles, and that will be quite a lot. If you acquire a Discover it® Miles card, you can increase the inflow of miles, earning on every purchase - unlimited 1.5x miles. What is more, all miles you earn will be matched at the end of your first year (provided you are a new cardmember). For example, if you earn 35,000 miles, you will get 70,000 miles. In addition, the Discover credit card doesn’t have any annual fee.