What is the LCM of 10 and 20?
The least common multiple of 10 and 20 is the smallest number that is the multiple of 10 and 20.
Answer: LCM of 10 and 20 is 20
Lets see how to find the LCM of 10 and 20
Least Common Multiple of x and y is the smallest number that divides x and y exactly.
Look at one of the methods that use the listing out the common multiples.
Methods to Find LCM of 10 and 20
Let us use the following methods to find the LCM of 10 and 20
- Listing the Multiples
- Common Division
LCM of 10 and 20 by Listing Method
In this method, we list the first few multiples of 10 and 20 and identify the common multiples.
The least among the common multiples is the LCM of 10 and 20
Here is the quickest way to find the LCM of 10 and 20, the Common Division Method
LCM of 10 and 20 by Common Division Method
Follow the steps mentioned below to find the LCM of 10 and 20 by the common division method.
- Step 1: Write the numbers 10 and 20 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 it 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 10 and 20 will be the product of primes by which we have divided.
So, by common division method, we have LCM of 10 and 20 = 2 X 2 X 5 = 20
Irrespective of the method, the solution to our question LCM of 10 and 20 is the same.