Answer:
1: Find the prime factorization of 81
81 = 3 × 3 × 3 × 3
2: Find the prime factorization of 300
300 = 2 × 2 × 3 × 5 × 5
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 2 × 3 × 3 × 3 × 3 × 5 × 5
LCM = 8100