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
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.
Table of Content
- What is LCM?
- What is LCM of 4 and 6?
- LCM of 4 and 6 Calculator
- How to Find LCM of 4 and 6
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