What is the LCM of 15 and 16?
To find the LCM of 15 and 16, we need the least number which is exactly divisible by both 15 and 16.
Answer: LCM of 15 and 16 is 240
We will explain two methods to find the Least Common Multiple of 15 and 16
Least Common Multiple of 15 and 16 would be the smallest number which can exactly divide by both of the numbers without any remainder. We can find the LCM of the 15 and 16 by following two methods.
- LCM of 15 and 16 by Division Method
- LCM of 15 and 16 by Listing Method
Method1: LCM of 15 and 16 by Common Division Method
In this division method, we start dividing the numbers simultaneously with prime numbers and stop the process when we don't have a prime number to divide the given numbers.
So, LCM of 15 and 16 is given by the product 2 × 2 × 2 × 3 × 5 = 240
LCM of 15 and 16 by Listing Method
We will list the first few multiples of 15 and 16 and determine the common multiples.
The least among the common multiples is the LCM of 15 and 16
The least common multiple of 15 and 16 in this list is 240. So, LCM of 15 and 16 is 240
Observe that the solution to our question LCM of 15 and 16 is the same in both methods.