There is solubility info. in the article below available in the further reading section.
THE SYSTEM LITHIUM CHLORATE – LITHIUM CHLORIDE – WATER AT VARIOUS TEMPERATURES Abstract A. N. Campbell, J. E. Griffiths Canadian Journal of Chemistry 34 pp 1647-1661
The solubilities of LiCl and LiClO3 (in grams per 100ml water) are taken from http://en.wikipedia.org/wiki/Solubility_table
From experiments conducted by Hashashan it would appear that Li (Per)Chlorate cells are erosive to Lead Dioxide. It also appears that Li is erosive to Tin Oxide Anodes.
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