LCM of 2923 and 3239

LCM of 2923 and 3239 is 119843. LCM is the method used to get the smallest common multiple which lies between the numbers 2923 and 3239. Least common multiples of 2923 and 3239 can be found by first knowing the common multiples of the numbers. (2923, 5846, 8769, 11692, 14615, 17538, ….) and (3239, 6478, 9717, 12956, 16195, 19434, 22673, ….) are the multiples of 2923 and 3239. Students can find the LCM of two numbers by listing the multiples, prime factorization and division methods.

Also read: Least common multiple

What is LCM of 2923 and 3239?

The answer to this question is 119843. The LCM of 2923 and 3239 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 2923 and 3239, is the smallest positive integer 119843 which is divisible by both 2923 and 3239 with no remainder.

lcm of 2923 and 3239

How to Find LCM of 2923 and 3239?

LCM of 2923 and 3239 can be found using three methods:

  • Prime Factorisation
  • Division method
  • Listing the multiples

LCM of 2923 and 3239 Using Prime Factorisation Method

The prime factorisation of 2923 and 3239, respectively, is given by:

2923 = 37 x 79 = 37¹ x 79¹

3239 = 41 x 79 = 41¹ x 79¹  

LCM (2923, 3239) = 119843

LCM of 2923 and 3239 Using Division Method

We’ll divide the numbers (2923, 3239) by their prime factors to get the LCM of 2923 and 3239 using the division method (preferably common). The LCM of 2923 and 3239 is calculated by multiplying these divisors.

37

2923

3239

41

79

3239

79

79

79

x

1

1

No further division can be done. 

Hence, LCM (2923, 3239) = 119843

LCM of 2923 and 3239 Using Listing the Multiples

To calculate the LCM of 2923 and 3239 by listing out the common multiples, list the multiples as shown below

Multiples of 2923 = 2923, 5846, 8769, 11692, 14615, 17538, ….

Multiples of 3239 = 3239, 6478, 9717, 12956, 16195, 19434, 22673, ….

LCM (2923, 3239) = 119843

Related Articles

Video Lesson on Applications of LCM

LCM of 2923 and 3239 Solved Examples 

Question: What is the smallest number exactly divisible by 2923 and 3239?

Solution:

We know that

LCM is the smallest number exactly divisible by 2923 and 3239.

Multiples of 2923 = 2923, 5846, 8769, 11692, 14615, 17538, ….

Multiples of 3239 = 3239, 6478, 9717, 12956, 16195, 19434, 22673, ….

Hence, the LCM of 2923 and 3239 is 119843.

Frequently Asked Questions on LCM of 2923 and 3239

Q1

Mention the methods used to find the LCM of 2923 and 3239.

The methods used to find the LCM of 2923 and 3239 are

Prime Factorisation

Division method

Listing the multiples

Q2

Using prime factorisation, find the LCM of 2923 and 3239.

To find the LCM, the factors must be known

2923 = 37 x 79 = 37¹ x 79¹

3239 = 41 x 79 = 41¹ x 79¹

LCM is the product of prime factors raised to the highest exponent among 2923 and 3239.

LCM of 2923, 3239 = 119843

Q3

What is the GCF if the LCM of 2923 and 3239 is 119843?

LCM x GCF = 2923 x 3239

As the LCM = 119843

119843 x GCF = 9467597

GCF = 9467597/119843 = 79

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