What is the LCM of 8 and 11?
LCM (Least Common Multiple) is defined as the smallest number which is exactly divisible by the given numbers.
Answer: LCM of 8 and 11 is 88
LCM of 8 and 11 is the least number which is exactly divisible by both the numbers. It is denoted by LCM(8, 11).
The most common methods of finding LCM are:
- Listing the common multiples Method
- Common Division Method
Find LCM of 8 and 11 by Listing Method
We identify the common multiples from the list the first few multiples of 8 and 11.
The smallest of all the common multiples is the LCM of 8 and 11.
Find LCM of 8 and 11 by Common Division Method
In common division,
- we divide the numbers simultaneously with prime numbers and
- conclude the process when we don't have a prime number to further divide the given numbers.
LCM of 8 and 11 is 2 × 2 × 2 × 11 which is equal to 88
When the given numbers have no factor in common, then their LCM is just the product of both the given numbers.
Whatever method we choose to find LCM, the solution to our question LCM of 8 and 11 is the same.