What is the LCM of 13 and 14?
The LCM (Least Common Multiple) of 13 and 14 is the least number which is exactly divisible by all the numbers 13 and 14.
Answer: LCM of 13 and 14 is 182
We will explain two methods to find the LCM of 13 and 14.
The two methods that we are using to find the LCM of 13 and 14 are shown below.
- Least Common Multiple of 13 and 14 by Listing Method
- Least Common Multiple of 13 and 14 by Common Division Method
Method1: LCM of 13 and 14 by Listing Method
The multiples of 13 and 14 are:
Here, 182 is the least common multiple of 13 and 14 from this list. So, LCM (13, 14) = 182
Method2: LCM of 13 and 14 by Common Division Method
Follow the steps mentioned below to find the LCM (13, 14) by the common division method.
Step 1: Write the numbers 13 and 14 horizontally by separating them with a comma.
Step 2: Choose the smallest prime number that divides at least any one of them.
Step 3: Write the quotient in the next row just below the numbers. If any of the numbers are not divided, we will bring them down directly.
Step 4: We will stop it when we don't have a prime number to divide the given numbers.
Step 5: Least common multiple of 13 and 14 will be the product of primes by which we have divided.
The answer to LCM of 13 and 14 is the same, irrespective of the methods used.