LCM 4, 6, 9

asked by guest
on Oct 17, 2024 at 11:16 pm



You asked:

Find the least common multiple of the following numbers: \(4, 6, 9\).

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 $4$ is $2^{2}$.

The prime factorization of $6$ is $2 \times 3$.

The prime factorization of $9$ is $3^{2}$.

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

$\text{lcm}(4, 6, 9) = 2^{2} \times 3^{2} = 36.$