Least Common Multiple of 4382 and 4389
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4382 and 4389 the smallest integer that is 2747514 that is divisible by both numbers.
Least Common Multiple (LCM) of 4382 and 4389 is 2747514.
LCM(4382,4389) = 2747514
LCM of 4382 and 4389
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4382 and 4389 by Prime method
- Least Common Multiple of 4382 and 4389 with GCF Formula
LCM of 4382 and 4389 is 2747514
Least common multiple can be found by multiplying the highest exponent prime factors of 4382 and 4389. First we will calculate the prime factors of 4382 and 4389.
Prime Factorization of 4382
| 2 | 4382 |
| 7 | 2191 |
| 313 | 313 |
| 1 |
Prime factors of 4382 are 2, 7,313. Prime factorization of 4382 in exponential form is:
4382 = 21×71×3131
Prime Factorization of 4389
| 3 | 4389 |
| 7 | 1463 |
| 11 | 209 |
| 19 | 19 |
| 1 |
Prime factors of 4389 are 3, 7, 11,19. Prime factorization of 4389 in exponential form is:
4389 = 31×71×111×191
Now multiplying the highest exponent prime factors to calculate the LCM of 4382 and 4389.
LCM(4382,4389) = 21×31×71×111×191×3131
LCM(4382,4389) = 2747514
Factors of 4382
List of positive integer factors of 4382 that divides 4382 without a remainder.
1, 2, 7, 14, 313, 626, 2191, 4382
Factors of 4389
List of positive integer factors of 4389 that divides 4389 without a remainder.
1, 3, 7, 11, 19, 21, 33, 57, 77, 133, 209, 231, 399, 627, 1463, 4389
Least Common Multiple of 4382 and 4389 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4382 and 4389, than apply into the LCM equation.
GCF(4382,4389) = 7
LCM(4382,4389) = ( 4382 × 4389) / 7
LCM(4382,4389) = 19232598 / 7
LCM(4382,4389) = 2747514
Properties of LCM 4382 and 4389
(i) The LCM of 4389 and 4382 is associative
LCM of 4382 and 4389 = LCM of 4389 and 4382
Related Least Common Multiples of 4382
Related Least Common Multiples of 4389
Frequently Asked Questions on LCM of 4382 and 4389
1. What is the LCM of 4382 and 4389?
Answer: LCM of 4382 and 4389 is 2747514.
2. What are the Factors of 4382?
Answer: Factors of 4382 are 1, 2, 7, 14, 313, 626, 2191, 4382. There are 8 integers that are factors of 4382. The greatest factor of 4382 is 4382.
3. What are the Factors of 4389?
Answer: Factors of 4389 are 1, 3, 7, 11, 19, 21, 33, 57, 77, 133, 209, 231, 399, 627, 1463, 4389. There are 16 integers that are factors of 4389. The greatest factor of 4389 is 4389.
4. How to Find the LCM of 4382 and 4389?
Answer:
Least Common Multiple of 4382 and 4389 = 2747514
Step 1: Find the prime factorization of 4382
4382 = 2 x 7 x 313
Step 2: Find the prime factorization of 4389
4389 = 3 x 7 x 11 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 = 2747514 = 2 x 3 x 7 x 11 x 19 x 313
Step 4: Therefore, the least common multiple of 4382 and 4389 is 2747514.