What is the LCM of 21 and 27?
The LCM (Least Common Multiple) of 21 and 27 is the least number which is exactly divisible by all the numbers 21 and 27.
Answer: LCM of 21 and 27 is 189
We will explain two methods to find the LCM of 21 and 27.
The two methods that we are using to find the LCM of 21 and 27 are shown below.
- Least Common Multiple of 21 and 27 by Listing Multiples Method
- Least Common Multiple of 21 and 27 by Common Division Method
Method 1: LCM of 21 and 27 by Listing Multiples Method
The multiples of 21 and 27 are:
Here, 189 is the least common multiple of 21 and 27 from this list. So, LCM (21, 27) = 189
Method 2: LCM of 21 and 27 by Common Division Method
Follow the steps mentioned below to find the LCM( 21, 27) by the common division method.
Step 1: Write the numbers 21 and 27 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 21 and 27 will be the product of primes by which we have divided.
The answer to LCM of 21 and 27 is the same, irrespective of the methods used.