What is the LCM of 18 and 17?
LCM (Least Common Multiple) of two numbers is the smallest number which is exactly divisible by the two numbers without leaving any remainder.
Answer: LCM of 18 and 17 is 306
LCM of 18 and 17 is the least number which is exactly divisible by both 18 and 17.
We can find the LCM (18, 17) by the following methods:
- Listing the common multiples method
- Common division method
Method 1: LCM of 18 and 17 by Listing Method
In this method, we will list the first few multiples of 18 and 17
After that, we will identify the common multiples of 18 and 17
The least among the common multiples is the LCM of 18 and 17.
So, LCM (18, 17) = 306
Method 2: LCM of 18 and 17 by Common Division Method
In this division method, we divide the numbers simultaneously with prime numbers and stop it when we don't have a prime number to divide the given numbers.
LCM (8, 17) = 2 × 2 × 3 × 3 × 17 = 306.
Irrespective of the method, the solution to our question LCM of 18 and 17 is the same.