Answer
$35$
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 $5$ and $7$.
First we write the prime factorization of each number:
$5=5$
$7=7$
(both are prime numbers)
Then we take each factor the greatest number of times that it appears in any one prime factorization:
$LCM=5\cdot 7 = 35$.
The $LCM$ of the given numbers is $35$.
