Smith & Wesson started as a company in 1854. Considering their production numbers back then were significantly lower then they have been in the last century (especially considering the demand of two World Wars), your handgun was likely produced within the last century. Look up your model and its serial number online and you can find an exact date of manufacture.
It depends on what model and for some models, the exact year it was made.
I can say that the Smith and Wesson model 65-2 was made from 1977-1981.your handgun is included during this 4 year time frame.
The letter K prefix to your serial number was assigned to revolvers made by Smith and Wesson from 1946-1970.These were given to the models 14,15,16,17,18,19,48,53,66,67,68.It should be noted that all K prefix frames were target frame revolvers.Your serial number indicates that your Smith and Wesson handgun was made in the year 1964.
Best all around reference is the Standard Catalog of Smith and Wesson, 3rd ed., by Supica and Nahas.
The Smith and Wesson model 4053 was made from 1991-1998.
Standard Catalog of Smith and Wesson.
The Smith and Wesson model 10-7 was made in the year 1977.
Made @ 1950.
Your Smith and Wesson model 59 which was made the year before production ceased in 1982 will bring between 185-385 dollars for a handgun being in poor condition on up to excellent condition.
1980
smith and Wesson has a collectors site, Google it.
Smith and Wesson made the model 686-3 from 1988-1992.