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.
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
- Prime Factorization and Division Method for LCM and HCF
- Prime Factors
- Properties of HCF and LCM
- LCM Formula
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
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
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
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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