LCM of 2 and 10
2026-02-28 01:27 Diff
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Last updated on August 5, 2025

The smallest number that should also be a positive number, and evenly divide both the numbers, is known as the least common factor. LCM is very important for solving problems, especially fractions, scheduling events etc.

What is the LCM of 2 and 10

The LCM of 2 and 10 is the lowest number that divides both 2 and 10 without leaving any remainder. The LCM of 2 and 10 is 10.
 

How to find the LCM of 2 and 10?

LCM of 2 and 10 using Division method:

In the division method, we divide both the numbers by the lowest possible number until we get 1 for both numbers.

2 divides 2, leaving 1


5 divides 10, leaving 1

LCM = 2  × 5= 10.
 

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LCM of 2 and 10 using Listing multiples:

We write the multiples of both numbers till we find the common one.


Multiples of 2: 2, 4, 6, 8, 10, 12, …


Multiples of 10: 10, 20, 30, …


The common multiple is 10. So, the LCM of 2 and 10 is 10.
 

LCM of 2 and 10 using prime factorization:

We part each number into divisors and select the highest powers of all the prime factors.

2=  2


10= 2 × 5

LCM = 2 × 5= 10.
 

Common Mistakes and How to Avoid Them in LCM of 2 and 10

While solving problems on LCM, children are likely to make common mistakes, here are a few mistakes and how to avoid them.

Problem 1

Find the LCM of 2 and 10.

Okay, lets begin

The LCM of 2 and 10 is 10.
 

Explanation

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 10


Multiples of 10: 10, 20, 10…

The common multiple is 10. So, the LCM of 2 and 10 is 10.
  

Well explained 👍

Problem 2

Solve the following expression using LCM of 2 and 10: 3/2 + 1/10

Okay, lets begin

When we solve the equation by using the LCM of 2 and 10, the value we get is 8/5.
 

Explanation

 LCM(2,10)=10

3/2 = 15/10 , 1/10=110

Add the fractions:


15/10 + 1/10 = 16/ 10=8 / 5
 

Well explained 👍

Problem 3

Simplify the expression: x/2 + x/10 = 12

Okay, lets begin

 The value of x is 20.
 

Explanation

 LCM (2,10) =10

5x/10 + x/10 =12

5x+x/10=12 


6x= 12 × 10


6x = 120


x=20
 

Well explained 👍

FAQ’s on LCM of 2 and 10

1.Is the integer 1 neither prime nor composite?

 1 is not a prime number, as it can be divided by any other integer except for 1 and alone.
 

2.Is 9996 divisible by 6?

9996 is divisible by 2 as well as 3 and even by 6. Therefore, 9996 is the largest 4-digit number divisible by 6. We should add 2 to make it divisible by 3.
 

3.What is 26 evenly divisible by?

 The number that divides a number evenly, then that number is divisible. 26 exactly divides 1,2,13 and 26.
 

4.Which is the largest three-digit number divisible by 6??

 The largest three-digit number that is divisible by 6 is 996

Important glossaries for LCM of 2 and 10

  • Co-prime: two numbers that have only one number that is 1 as their common factor.  For example, 8 and 15 are co-prime numbers.
  • Even Number: A natural number is divisible by 2. For example, 2,4,68,10 etc.
  • Prime Factorization: The process of parting down a number into its prime factors is called Prime Factorization.  For example, prime factorization of 24 = 2 × 2 × 2 × 3.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

Fun Fact

: She loves to read number jokes and games.