Answer
$42$
Work Step by Step
The least common multiple ($LCM$) of two numbers $a$ and $b$ is the smallest number which is a multiple of both numbers $a$ and $b$..
We have to determine the $LCM$ of the numbers $6$ and $14$.
First we write the prime factorization of each number:
$6=2\cdot 3$
$14=2\cdot 7$
Then we take each factor the greatest number of times that it appears in any one prime factorization:
$LCM=2\cdot 3\cdot 7 = 42$.
The $LCM$ of the given numbers is $42$.
