What is the LCM of 9 and 18?
Least Common Multiple, or in short, LCM of two or more numbers is the smallest number which is divisible by the given numbers, without leaving any remainder.
Answer: LCM of 9 and 18 is 18
LCM(9, 18) is the least number which is exactly divisible by both the numbers.
We can find the LCM by the following methods:
- Listing the common multiples Method
- Common Division Method
Listing Method of Calculating LCM of 9 and 18
The process includes the following steps:
- List the first few multiples of 9 and 18
- Identify the common multiples
The smallest of all the common multiples is the LCM(9,18)
LCM of 9 and 18 by Common Division Method
Common division means the division of the given numbers simultaneously with prime numbers. We stop the common division process when we don't have a prime number to divide the given numbers.
LCM of 9 and 18 is 2 × 3 × 3 which is equal to 18
The least common multiple of 9 and 18 is unique and it is invariant with the method we choose.