How to Find LCM of 4 and 6

To find the Least Common Multiple (LCM) of 4 and 6, you can employ any of the below methods and follow the steps to get the desired LCM of 4 and 6.

• LCM of 4 and 6 by Prime Factorization
• LCM of 4 and 6 by Listing Multiples
• LCM of 4 and 6 by Long Division

LCM of 4 and 6 by Prime Factorization

Follow the below mentioned steps to find the LCM of 4 and 6 using Prime Factorization

Step 1: Find the Prime Factorization of 4 and 6

• Prime factorization of 4 is 2²
• Prime factorization of 6 is 2 × 3

Step 2: Identify the Highest Powers of

• The highest power of 2 is 2²
• The highest power of 3 is 3¹

Step 3: Multiply the Highest Powers

• LCM (4,6)= 2² × 3¹ = 12

Hence, Least Common Multiple (LCM) of 4 and 6 by prime factorization is 12.

LCM of 4 and 6 by Listing Multiples

Use the following steps to find the multiples of 4 and 6 by listing multiple method

Step 1: List the Multiples of 4 and 6

• The multiples of 4 are 4, 8, 12, 16, 20, 24… and so on
• The multiples of 6 are 6, 12, 18, 24, 30… and so on

Step 2: Identify the Smallest Common Multiple

• The smallest common multiple comes out to be 12.

Hence, Least Common Multiple of 4 and 6 is 12.

LCM of 4 and 6 by Long Division

Use the following steps to find the multiples of 4 and 6 by listing multiple method

Step 1: Begin by dividing the given numbers with the smallest prime integer.

Step 2: In the subsequent row, record both the quotient and any number that is not divisible by the prime number in step 1.

Step 3: Proceed to divide the integers by the next lowest prime number in the sequence.

Step 4: Continue this division process until the remaining number is a prime number or reaches one.

Step 5: To determine the Least Common Multiple (LCM), multiply all the divisors along with the remaining prime number as shown below

LCM of 4 and 6 is 12. Least Common Multiple is often called LCM. LCM is the method to find the common positive integer divisible by the given set of numbers. LCM can be calculated by using the division method and prime factorization method.

In this article, we will learn what is LCM of 4 and 6 and how to find it using different methods.