Even near a 52-week high, ASML has plenty of room to run for patient investors.

On Sept. 15, Alphabet joined Nvidia , Microsoft , and Apple as the fourth U.S. company to surpass $3 trillion in market capitalization. But turn your attention across the pond, and there is not a single European company that is worth over $1 trillion, or even half that amount.

Here's why Dutch semiconductor equipment giant ASML Holding ( ASML 0.51% ) is the best-positioned company to surpass $1 trillion in market cap within the next decade.

Why leading European companies are much smaller than top U.S. companies

The European stock market is highly fragmented. Instead of being viewed as European Union companies, Siemens is a German company, Novo Nordisk is a Danish company, and Shell is

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