What is the LCM of 72 and 84?
The LCM (Least Common Multiple) of 72 and 84 is the least number which is exactly divisible by all the numbers 72 and 84.
Answer: LCM of 72 and 84 is 504
We will explain two methods to find the LCM of 72 and 84.
The two methods that we are using to find the LCM of 72 and 84 are shown below.
- Least Common Multiple of 72 and 84 by Listing Method
- Least Common Multiple of 72 and 84 by Common Division Method
Method 1: LCM of 72 and 84 by Listing Method
The multiples of 72 and 84 are:
Here, 504 is the least common multiple of 72 and 84 from this list. So, LCM (72, 84) = 504
Method 2: LCM of 72 and 84 by Common Division Method
Follow the steps mentioned below to find the LCM( 72, 84) by the common division method.
Step 1: Write the numbers 72 and 84 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 72 and 84 will be the product of primes by which we have divided.
The answer to LCM of 72 and 84 is the same, irrespective of the methods used.