What is the LCM of 15 and 30?
The LCM (Least Common Multiple) of 15 and 30 is the least number which is exactly divisible by all the numbers 15 and 30.
Answer: LCM of 15 and 30 is 30
We will explain two methods to find the LCM of 15 and 30.
The two methods that we are using to find the LCM of 15 and 30 are shown below.
- Least Common Multiple of 15 and 30 by Listing Method
- Least Common Multiple of 15 and 30 by Common Division Method
Method 1: LCM of 15 and 30 by Listing Method
The multiples of 15 and 30 are:
Multiples of 15: 15, 30, 45
Multiples of 30: 30, 60
Here, 30 is the least common multiple of 15 and 30 from this list.
So, LCM (15, 30) = 30
Method 2: LCM of 15 and 30 by Common Division Method
Follow the steps mentioned below to find the LCM (15, 30) by the common division method.
Step 1: Write the numbers 15 and 30 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 15 and 30 will be the product of primes by which we have divided.
The answer to LCM of 15 and 30 is the same, irrespective of the methods used.