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Broadcom Corp. shareholders today approved the Irvine-based chipmaker’s $37 billion sale to Avago Technologies Ltd. in Singapore.

The transaction, expected to close early next year, still needs regulatory and antitrust approvals in certain countries.

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The combined company, which would take the name Broadcom Ltd., would become the third-largest chipmaker in the world, with annual revenue of about $15 billion.

It would be headquartered in San Jose, with Broadcom expected to maintain a sizeable presence here. The company appears committed to build a five-building campus next to Orange County Great Park that calls for 1.1 million square feet in its first phase.

It has similar plans for a campus in San Jose, as well.

Broadcom is OC’s largest chipmaker with some 2,400 local employees, a number that is expected to decrease after the deal finalizes.

Big takeovers typically translate into big layoffs, a hallmark of Avago’s prior acquisition history.

Broadcom shares are up slightly in afterhours trading after dipping 3.2% in the intraday session. Its market value is about $31.33 billion.