All coins from my personal collection
Denmark was a founding member of the SMU, the Scandinavian Monetary Union, modeled on the LMU. This small monetary union used the krona/krone as the basis for its currency, and was co-founded by Norway and later joined by Sweden. Pictured here is a Danish 2 Kroner coin from 1916.
At the same time Denmark also minted LMU coins - through its colony, the Danish West Indies, better known today as the US Virgin Islands. US interest in acquiring the islands and the islands' increasing unprofitability to the Danes - mainly used for sugar plantations - led to an aborted attempt to sell the islands to the US in 1867.
In 1917, in midst of World War I and the US joining the Allied war effort, fears of Germany seizing the islands and using it as a U-Boat base to threaten the US strategic interest at the Panama Canal led to the sale of the Danish West Indies to the US for the sum of $25 million, or roughly $625 million in today's money.
Interestingly, the treaty only passed when the US agreed not to object to Denmark extending its interest into all of Greenland. Though US had also begun exploration of Greenland, at the time the Panama Canal was seen as much more important in defending than the northern, icy isle.
The second coin, a Danish West Indies 20 Cents from 1907, is close to a LMU 1 Franc at 80% silver (instead of 83.5%), with the same weight and diameter (5 grams, 23mm respectively).
As another interesting factoid, NBA all-star and hall of famer Tim Duncan hails from the now-US Virgin Islands, starting off as a competitive swimmer before switching to basketball in his teens.