Least Common Multiple of 4389 and 4397
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 4389 and 4397 the smallest integer that is 19298433 that is divisible by both numbers.
Least Common Multiple (LCM) of 4389 and 4397 is 19298433.
LCM(4389,4397) = 19298433
LCM of 4389 and 4397
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 4389 and 4397 by Prime method
- Least Common Multiple of 4389 and 4397 with GCF Formula
LCM of 4389 and 4397 is 19298433
Least common multiple can be found by multiplying the highest exponent prime factors of 4389 and 4397. First we will calculate the prime factors of 4389 and 4397.
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
Prime Factorization of 4397
| 4397 | 4397 |
| 1 |
Prime factors of 4397 are 4397. Prime factorization of 4397 in exponential form is:
4397 = 43971
Now multiplying the highest exponent prime factors to calculate the LCM of 4389 and 4397.
LCM(4389,4397) = 31×71×111×191×43971
LCM(4389,4397) = 19298433
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
Factors of 4397
List of positive integer factors of 4397 that divides 4397 without a remainder.
1, 4397
Least Common Multiple of 4389 and 4397 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4389 and 4397, than apply into the LCM equation.
GCF(4389,4397) = 1
LCM(4389,4397) = ( 4389 × 4397) / 1
LCM(4389,4397) = 19298433 / 1
LCM(4389,4397) = 19298433
Properties of LCM 4389 and 4397
(i) The LCM of 4397 and 4389 is associative
LCM of 4389 and 4397 = LCM of 4397 and 4389
Related Least Common Multiples of 4389
Related Least Common Multiples of 4397
Frequently Asked Questions on LCM of 4389 and 4397
1. What is the LCM of 4389 and 4397?
Answer: LCM of 4389 and 4397 is 19298433.
2. 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.
3. What are the Factors of 4397?
Answer: Factors of 4397 are 1, 4397. There are 2 integers that are factors of 4397. The greatest factor of 4397 is 4397.
4. How to Find the LCM of 4389 and 4397?
Answer:
Least Common Multiple of 4389 and 4397 = 19298433
Step 1: Find the prime factorization of 4389
4389 = 3 x 7 x 11 x 19
Step 2: Find the prime factorization of 4397
4397 = 4397
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 19298433 = 3 x 7 x 11 x 19 x 4397
Step 4: Therefore, the least common multiple of 4389 and 4397 is 19298433.