Find the least common multiple: lcm(35, 66, 126) Find the prime factorization of each integer: The prime factorization of 35 is: 35 = 5×7 The prime factorization of 66 is: 66 = 2×3×11 The prime factorization of 126 is: 126 = 2×3^2×7 Find the largest power of each prime factor. The largest power of 2 that appears in the prime factorizations is 2^1. The largest power of 3 that appears in the prime factorizations is 3^2. The largest power of 5 that appears in the prime factorizations is 5^1. The largest power of 7 that appears in the prime factorizations is 7^1. The largest power of 11 that appears in the prime factorizations is 11^1. Therefore lcm(35, 66, 126) = 2^1×3^2×5^1×7^1×11^1: Answer: | | lcm(35, 66, 126) = 6930
