Answer:21 = 3 x 714 = 2 x 7LCM = 42Step-by-step explanation: 21 / \ 3 7Therefore, the prime factorization of 21 is 3 x 7.For 14: 14 / \2 7Therefore, the prime factorization of 14 is 2 x 7.To find the Least Common Multiple (LCM) of 21 and 14, we can use the prime factorization method. The LCM is the product of the highest power of all prime factors that appear in the prime factorization of each number:LCM(21, 14) = 2 x 3 x 7 LCM = 42So, the LCM of 21 and 14 is 42.