That's what I thought but if I threw a 36 million share why didn't I find a block?
That is the point the 36 million share is BTC Diff share

Not LTC one
So in order to solve a block your cgminer shall show something bigger than 223785517056
Current LTC diff is 3414696.932 * 65536 equals to something like 223785517056 BTC share
The confusion comes because cgminer shows BTC diff not LTC diff. pool stats showed LTC diff best share...
Best
Loshia