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# How do you find the LCM of $7$ and $9?$ Verified
Prime factorization is defined as the process of finding which prime numbers can be multiplied together to make the original number, where prime numbers are defined as the numbers greater than $1$ and which are not the product of any two smaller natural numbers. For Example: $2,{\text{ 3, 5, 7,}}......$ $2$ is the prime number as it can have only $1$ factor. Here we will find the product of prime factors one by one for both the given numbers.
$7 = 1 \times 7 \\ 9 = 3 \times 3 \;$
Therefore, the LCM of the given two numbers $7$ and $9$ is $3 \times 3 \times 7 = 63$
Note: To solve these types of sums, one should be very clear with the concept of HCF and LCM and the prime numbers. HCF is defined as the highest or greatest common multiple whereas the LCM is defined as the least common multiple or least common divisor in two or more given numbers. Prime numbers are the numbers which are greater than $1$ and also which are not the product of any two smaller natural numbers. For Example: $2,{\text{ 3, 5, 7,}}......$ $2$ is the prime number as it can have only $1$ factor. Factors can be defined as the number $1$ and the number itself. Also, remember that we get the prime factorization of any given composite number.