It comes as the high tech metals group is attracting increasing interest from European investors.
Approval is now subject to customary conditions, the firm said, and the company description has been approved by Nasdaq Stockholm AB.
Leading Edge's chief executive Blair Way said: "We look forward to working with the Swedish investment community to grow our business."
"Nasdaq First North Stockholm is a logical choice for a dual listing of Leading Edge Materials to both expand the company's European profile and broaden the European shareholder base," the company said.
"With graphite, lithium, rare earth and cobalt assets located in the Nordic region, Leading Edge Materials can deliver a unique opportunity to European investors to take part in the high-growth lithium ion battery market."
Also today, the firm announced the resignation of Nick Demare as director of the company but said he will continue his role as the firm's chief financial officer.