LCM of 5 and 10

10 is the LCM of the given numbers 5 and10.

Lets find out how to get the LCM. 
 

There are various methods to find the LCM, Listing method, prime factorization method and division method are explained below; 
 

 list the multiples of the integers until a common multiple is found. 
 

 list the multiples of the integers until a common multiple is found. 

Step1: list multiples of each number:  

Multiples of 5 = 5,10,15,20,…

Multiples of 10 = 10,20,30,40…

Step 2: Find the smallest multiple from the listed multiples

The least common multiple of the numbers is 10.

LCM(5,10) = 10 
 

The prime factors of each number are written, and then the highest power of the prime factors is multiplied to get the LCM.

Step 1: prime factorize the numbers:

5  = 5

10= 2×5

Step 2: pick the highest power of each prime factor and multiply the ascertained factors.

— 2,5 = LCM, i.e, 10

Step 1: Write the numbers in a row;

Step 2: Divide the row of numbers by a prime number that is evenly divisible into one of the given numbers and bring down the numbers not divisible by the previous prime number and continue dividing the numbers until the last row of the  results is ‘1’ .

Step 3: The LCM of the numbers is the product of the prime numbers in the first column, i.e, 

2×5 = 10



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• Multiple: A product of a number and any integer.

• Prime Factor: A prime factor is a natural number, other than 1, whose only factors are 1 and itself.

• Prime Factorization: The process of breaking down a number into its prime factors.

• Co-prime numbers: A number is co-prime when the only positive integer that is a divisor of them both is 1.