Least Common Multiple of 2389 and 2394
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 2389 and 2394 the smallest integer that is 5719266 that is divisible by both numbers.
Least Common Multiple (LCM) of 2389 and 2394 is 5719266.
LCM(2389,2394) = 5719266
LCM of 2389 and 2394
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 2389 and 2394 by Prime method
- Least Common Multiple of 2389 and 2394 with GCF Formula
LCM of 2389 and 2394 is 5719266
Least common multiple can be found by multiplying the highest exponent prime factors of 2389 and 2394. First we will calculate the prime factors of 2389 and 2394.
Prime Factorization of 2389
| 2389 | 2389 |
| 1 |
Prime factors of 2389 are 2389. Prime factorization of 2389 in exponential form is:
2389 = 23891
Prime Factorization of 2394
| 2 | 2394 |
| 3 | 1197 |
| 3 | 399 |
| 7 | 133 |
| 19 | 19 |
| 1 |
Prime factors of 2394 are 2, 3, 7,19. Prime factorization of 2394 in exponential form is:
2394 = 21×32×71×191
Now multiplying the highest exponent prime factors to calculate the LCM of 2389 and 2394.
LCM(2389,2394) = 21×32×71×191×23891
LCM(2389,2394) = 5719266
Factors of 2389
List of positive integer factors of 2389 that divides 2389 without a remainder.
1, 2389
Factors of 2394
List of positive integer factors of 2394 that divides 2394 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197, 2394
Least Common Multiple of 2389 and 2394 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2389 and 2394, than apply into the LCM equation.
GCF(2389,2394) = 1
LCM(2389,2394) = ( 2389 × 2394) / 1
LCM(2389,2394) = 5719266 / 1
LCM(2389,2394) = 5719266
Properties of LCM 2389 and 2394
(i) The LCM of 2394 and 2389 is associative
LCM of 2389 and 2394 = LCM of 2394 and 2389
Related Least Common Multiples of 2389
Related Least Common Multiples of 2394
Frequently Asked Questions on LCM of 2389 and 2394
1. What is the LCM of 2389 and 2394?
Answer: LCM of 2389 and 2394 is 5719266.
2. What are the Factors of 2389?
Answer: Factors of 2389 are 1, 2389. There are 2 integers that are factors of 2389. The greatest factor of 2389 is 2389.
3. What are the Factors of 2394?
Answer: Factors of 2394 are 1, 2, 3, 6, 7, 9, 14, 18, 19, 21, 38, 42, 57, 63, 114, 126, 133, 171, 266, 342, 399, 798, 1197, 2394. There are 24 integers that are factors of 2394. The greatest factor of 2394 is 2394.
4. How to Find the LCM of 2389 and 2394?
Answer:
Least Common Multiple of 2389 and 2394 = 5719266
Step 1: Find the prime factorization of 2389
2389 = 2389
Step 2: Find the prime factorization of 2394
2394 = 2 x 3 x 3 x 7 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 5719266 = 2 x 3 x 3 x 7 x 19 x 2389
Step 4: Therefore, the least common multiple of 2389 and 2394 is 5719266.