LCM of 7w^3 and 8w^4

The LCM (Least Common Multiple) of 7w^3 and 8w^4 can be found by determining the highest power of each prime factor that appears in either expression.

Prime factors of 7w^3: 7, w
Prime factors of 8w^4: 2, 2, 2, 2, w, w, w, w

The LCM will include all the prime factors with the highest powers that appear in either expression. Therefore, the LCM of 7w^3 and 8w^4 is 56w^4.