Math Problem Solver

The least common multiple of a set of integers is the smallest positive integer divisible by all integers in the set.

The prime factorization of $18$ is $2 \times 3^{2}$.

The prime factorization of $36$ is $2^{2} \times 3^{2}$.

The prime factorization of $40$ is $2^{3} \times 5$.

Find the least common multiple by multiplying the prime number powers together, including only the greatest prime number power of each common prime.

$\text{lcm}(18, 36, 40) = 2^{2} \times 3^{2} \times 5 = 360.$