Find the least common multiple:
lcm(65, 120)
Find the prime factorization of each integer:
The prime factorization of 65 is:
65 = 5×13
The prime factorization of 120 is:
120 = 2^3×3×5
Find the largest power of each prime factor.
The largest power of 2 that appears in the prime factorizations is 2^3.
The largest power of 3 that appears in the prime factorizations is 3^1.
The largest power of 5 that appears in the prime factorizations is 5^1.
The largest power of 13 that appears in the prime factorizations is 13^1.
Therefore lcm(65, 120) = 2^3×3^1×5^1×13^1:
Answer: |lcm(65, 120) = 1560
