In this talk, we will discuss the LED family of block ciphers designed by Guo et al. The members of the family, LED-64 and LED-128, are iterated Even-Mansour constructions, whose random permutations are instantitated with a 4-round AES-like structure. We show several types of attacks against these ciphers, targetting both the iterated Even-Mansour structure and the specific instantiation by 4-round AES-like structure. The first set of attacks is applicable to 3-step LED-64 and 8-step LED-128 slightly faster than exhaustive search, the second set consists of attacks on LED-64 and targets the used round function, and the third set of attacks show that 4-step LED-128 can be attacked in the almost-practical time 2^64 (improving previous results by a factor of 2^32). This is a joint work with Itai Dinur, Nathan Keller, and Adi Shamir.