DENVER — Ammunition limits cleared Colorado’s Democratic Legislature on Wednesday and were on their way to the governor, who has said he’ll sign the measure into law.

The 15-round magazine limit would make Colorado the first state outside the East Coast to ratchet back gun rights after last year’s mass shootings.

Colorado’s gun-control debates have been watched because of the state’s gun-loving frontier heritage and painful history of mass shootings, most recently last summer’s movie-theater shooting that killed 12.

“I am sick and tired of the bloodshed,” said Rep. Rhonda Fields, sponsor of the ammunition limit and a Democrat whose suburban Denver district includes the theater. “Whatever we can do to curb the gun violence and the bloodshed, we have a responsibility to do that.”

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Democratic Gov. John Hickenlooper has said he is ambivalent about the magazine- ammunition limit but will sign it.

Still pending in the Legislature is the Democrats’ other signature gun-control bill, which would require background checks for private and online gun sales. Hickenlooper has more enthusiastically backed that measure, and it was scheduled for a final vote Wednesday.

But a dispute over a Senate amendment delayed the background-check bill for at least another day. Democrats are trying to change the bill so that gun owners can give guns to relatives or lend them for short periods without triggering the background-check requirements.

Two bills in the gun package were just starting consideration Wednesday. Those measures included a ban on online-only gun education required to receive a concealed-weapons permit, and a ban on gun ownership by people facing domestic-violence charges.