Least Common Multiple of 2337 and 2341
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2337 and 2341 the smallest integer that is 5470917 that is divisible by both numbers.
Least Common Multiple (LCM) of 2337 and 2341 is 5470917.
LCM(2337,2341) = 5470917
LCM of 2337 and 2341
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2337 and 2341 by Prime method
- Least Common Multiple of 2337 and 2341 with GCF Formula
LCM of 2337 and 2341 is 5470917
Least common multiple can be found by multiplying the highest exponent prime factors of 2337 and 2341. First we will calculate the prime factors of 2337 and 2341.
Prime Factorization of 2337
| 3 | 2337 |
| 19 | 779 |
| 41 | 41 |
| 1 |
Prime factors of 2337 are 3, 19,41. Prime factorization of 2337 in exponential form is:
2337 = 31×191×411
Prime Factorization of 2341
| 2341 | 2341 |
| 1 |
Prime factors of 2341 are 2341. Prime factorization of 2341 in exponential form is:
2341 = 23411
Now multiplying the highest exponent prime factors to calculate the LCM of 2337 and 2341.
LCM(2337,2341) = 31×191×411×23411
LCM(2337,2341) = 5470917
Factors of 2337
List of positive integer factors of 2337 that divides 2337 without a remainder.
1, 3, 19, 41, 57, 123, 779, 2337
Factors of 2341
List of positive integer factors of 2341 that divides 2341 without a remainder.
1, 2341
Least Common Multiple of 2337 and 2341 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2337 and 2341, than apply into the LCM equation.
GCF(2337,2341) = 1
LCM(2337,2341) = ( 2337 × 2341) / 1
LCM(2337,2341) = 5470917 / 1
LCM(2337,2341) = 5470917
Properties of LCM 2337 and 2341
(i) The LCM of 2341 and 2337 is associative
LCM of 2337 and 2341 = LCM of 2341 and 2337
Related Least Common Multiples of 2337
Related Least Common Multiples of 2341
Frequently Asked Questions on LCM of 2337 and 2341
1. What is the LCM of 2337 and 2341?
Answer: LCM of 2337 and 2341 is 5470917.
2. What are the Factors of 2337?
Answer: Factors of 2337 are 1, 3, 19, 41, 57, 123, 779, 2337. There are 8 integers that are factors of 2337. The greatest factor of 2337 is 2337.
3. What are the Factors of 2341?
Answer: Factors of 2341 are 1, 2341. There are 2 integers that are factors of 2341. The greatest factor of 2341 is 2341.
4. How to Find the LCM of 2337 and 2341?
Answer:
Least Common Multiple of 2337 and 2341 = 5470917
Step 1: Find the prime factorization of 2337
2337 = 3 x 19 x 41
Step 2: Find the prime factorization of 2341
2341 = 2341
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5470917 = 3 x 19 x 41 x 2341
Step 4: Therefore, the least common multiple of 2337 and 2341 is 5470917.