LCM of 15 and 35

LCM of 15 and 35 becomes 105. Let’s 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. 

 Step 1: List multiples of each number:  

Multiples of 15 = 15,30,45,60,…105,…

Multiples of 35 = 35,70,105,…

 Step 2: Find the smallest multiple from the listed multiples

The least common multiple of the numbers is 105.

LCM(15,35) = 105

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:

15  = 5×3

35= 7×5

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

— 7,3,5 = LCM, i.e, 105

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. 

      
Step 3: Continue dividing the numbers until the last row of the result is ‘1’. The LCM of the numbers is the product of the prime numbers in the first column, i.e, 

LCM(15,35)=105

• Multiple: product of a number and a natural integer 

• Prime factor: number one gets after prime factorization any given number 

• Prime factorization: the process of breaking the number into its prime factors.