LCM of 4 and 8

The LCM of 4 and 8 is 8. Let's find out how we calculate LCM. 
 

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

The LCM of 4 and 8 can be found using the following steps;

Step 1: Record multiples of each number:  

Multiples of 4 = 4,8,12,16,20,24,28…

Multiples of 8 = 8,16,24,32,…

Step 2:  Choose the smallest multiple from the listed multiples of 4 and 8. 

The LCM of 4 and 8 is 8, i.e.,8 is divisible by 4 and 8 leaving no reminders. 
 

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:  List the prime factors of the numbers:

Prime factorization of 4 = 2×2

Prime factorization of 8  = 2×2×2

Step 2: Multiply highest power of each prime factor:

— 2,2,2

Step 3: Multiply the factors to get the LCM: 

LCM (4,12) = 2×2×2 = 8
  

The Division Method involves simultaneously dividing the numbers by their prime factors and multiplying the divisors to get the LCM. 

Step 1: Write down the numbers in a row;

Step 2: Divide the row of numbers by a prime number that is evenly divisible into at least one of the given numbers. Continue dividing the numbers until the last row of the results is ‘1’ and bring down the numbers has not been divisible previously.
 

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

2×2×2= 8

LCM (4,8) = 8

• Multiple: A number and any integer multiplied. 

• Prime Factor: A natural number (other than 1) that has factors that are one and itself.

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

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

• Relatively Prime Numbers:  Numbers that have no common factors other than 1.

• Fraction: A representation of a part of a whole.