It's actually the other way around. Distributions in an LLC are usually based on each member's equity share, although the operating agreement can specify how often such distributions are made. Shareholders in a corporation can receive dividends, but those are determined by the corporation's board and can vary depending on the class of stock each shareholder owns. Preferred-class shareholders, who may hold a smaller overall fraction of the company's outstanding shares than the common stock shareholders, may receive disproportionately larger dividends per share than common stock shareholders, which is one of the (many) reasons that preferred stock is a better choice when it is available. Take, for instance, what Berkshire Class "A" shareholders receive in dividends per year compared to Class "B" shareholders.
Here's a good link from LegalZoom that can explain what you're asking about:
Explanation of LLC distributions
I hope this helps.