Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 144391 and 144397 the smallest integer that is 20849627227 that is divisible by both numbers.
Least Common Multiple (LCM) of 144391 and 144397 is 20849627227.
LCM(144391,144397) = 20849627227
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
Least common multiple can be found by multiplying the highest exponent prime factors of 144391 and 144397. First we will calculate the prime factors of 144391 and 144397.
Prime Factorization of 144391
13 | 144391 |
29 | 11107 |
383 | 383 |
1 |
Prime factors of 144391 are 13, 29,383. Prime factorization of 144391 in exponential form is:
144391 = 131×291×3831
Prime Factorization of 144397
11 | 144397 |
13127 | 13127 |
1 |
Prime factors of 144397 are 11,13127. Prime factorization of 144397 in exponential form is:
144397 = 111×131271
Now multiplying the highest exponent prime factors to calculate the LCM of 144391 and 144397.
LCM(144391,144397) = 111×131×291×3831×131271
LCM(144391,144397) = 20849627227
Factors of 144391
List of positive integer factors of 144391 that divides 144391 without a remainder.
1, 13, 29, 377, 383, 4979, 11107, 144391
Factors of 144397
List of positive integer factors of 144397 that divides 144397 without a remainder.
1, 11, 13127, 144397
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144391 and 144397, than apply into the LCM equation.
GCF(144391,144397) = 1
LCM(144391,144397) = ( 144391 × 144397) / 1
LCM(144391,144397) = 20849627227 / 1
LCM(144391,144397) = 20849627227
(i) The LCM of 144397 and 144391 is associative
LCM of 144391 and 144397 = LCM of 144397 and 144391
1. What is the LCM of 144391 and 144397?
Answer: LCM of 144391 and 144397 is 20849627227.
2. What are the Factors of 144391?
Answer: Factors of 144391 are 1, 13, 29, 377, 383, 4979, 11107, 144391. There are 8 integers that are factors of 144391. The greatest factor of 144391 is 144391.
3. What are the Factors of 144397?
Answer: Factors of 144397 are 1, 11, 13127, 144397. There are 4 integers that are factors of 144397. The greatest factor of 144397 is 144397.
4. How to Find the LCM of 144391 and 144397?
Answer:
Least Common Multiple of 144391 and 144397 = 20849627227
Step 1: Find the prime factorization of 144391
144391 = 13 x 29 x 383
Step 2: Find the prime factorization of 144397
144397 = 11 x 13127
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20849627227 = 11 x 13 x 29 x 383 x 13127
Step 4: Therefore, the least common multiple of 144391 and 144397 is 20849627227.