Recently, I have read about Causal Dynamical Triangulation from here and Wikipedia. In Wikipedia it states,

CDT is a modification of quantum Regge calculus where spacetime is discretized by approximating it with a piecewise linear manifold in a process called triangulation.

I have also read about Loop Quantum Gravity here and Wikipedia. Again, Wikipedia states that,

The theory gives a physical picture of spacetime where space and time are granular and discrete directly because of quantization just like photons in the quantum theory of electromagnetism and the discrete energy levels of atoms.

I couldn't find a good explanation of how both are different from each other even-though the way they approach to solve the problem of Quantum Gravity looks same.