What is the least common multiple of 5, 20, and 2?
You asked:
Find the least common multiple of the following numbers: \(5, 20, 2\).
MathBot Answer:
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 $5$ is $5$.
The prime factorization of $20$ is $2^{2} \times 5$.
The prime factorization of $2$ is $2$.
Find the least common multiple by multiplying the prime number powers together, including only the greatest prime number power of each common prime.
$\text{lcm}(5, 20, 2) = 2^{2} \times 5^{2} = 20.$