I too have a LC GSD and I love her to death, best dog ever. But I spayed her, for the sole reaosn that she was a long coat. It is not only undesirable for a GSD but a huge fault and should not be bred.
When deciding wether or not to breed you have to look at everything the dog has to offer. Temperment, drive, conformation, everything, if the pup lacks in any in a major way then they should not be bred. Breeding should be done for the betterment (is that even a word) of the breed, and to breed a dog clearly out of standard is not really ethical.
I.E. My male pup Ike was never intended for a breeding dog, but he grew up beautifully is very masculine, has a great temperment and outstanding drive and soundness. So I put off neutering him unitl he was 2 to see how he turned out. Well he is too tall, by about 1 1/2 in and has a minor oddity in his bite. Not something most people would notice but I did. So he got fixed.
There are so many dogs out there with the same qualities without the faults that it made no sense to add his genes to the gene pool. IMHO a dog should only be bred if they are OUTSTANDING and show all the traits a GSD should.
A dog with an obvious and huge fault should not be bred. I know you love your pup and she is probably a wonderful dog. But being a wonderful dog does not make her breed worthy. As a breeder it will be your responsibilty to ensure that only the best dogs be bred and by that retain the integrity of the breed.
Some day i hope to breed, some day I will find just the right dog, I dont have it right now.
As for your original question, both parents have to carry the LC gene for the any of the pups to be LC. So technically if you breed to male that does not carry the gene then none of the pups will be LC but they will still carry the possibilty of producing it if they are bred.
And as I am sure many will tell you, breeding is a HUGE responsibilty, you bring those pups into the world, you are responsible for their lives, are you prepared to make sure they have a good life, no matter what? Can you ensure that they will never be mistreated or sent to a pound? Even if that means that taking them back if their owners cant keep them? can you ensure the saftey of your female? Afford the time and money it takes to raise a litter? Will you female be titled in anything? Will you be able to make sure she has no other defects such as Hip Dysplasia or eye issues? can you handle the financial aspect if anything goes worng and she needs emergency care while giving birth? there are lots of things to consider.
If you do decide to breed her then I wish you good luck and i hope that you do eberything possible to ensure that she and the pups have a healthy and happy life.