“Find the LCM of 27 and 63.”

"The least common multiple (LCM) of 27 and 63 is found using their prime factorizations: 27 = 3³ 63 = 3² * 7. The LCM takes the highest power of each prime: 3³ * 7 = 27 * 7 = 189. The LCM is critical in mathematics for operations like adding fractions or solving scheduling problems ensuring alignment of cycles or denominators in computational and real-world applications."