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 144395 the smallest integer that is 20849338445 that is divisible by both numbers.
Least Common Multiple (LCM) of 144391 and 144395 is 20849338445.
LCM(144391,144395) = 20849338445
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 144395. First we will calculate the prime factors of 144391 and 144395.
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 144395
5 | 144395 |
28879 | 28879 |
1 |
Prime factors of 144395 are 5,28879. Prime factorization of 144395 in exponential form is:
144395 = 51×288791
Now multiplying the highest exponent prime factors to calculate the LCM of 144391 and 144395.
LCM(144391,144395) = 51×131×291×3831×288791
LCM(144391,144395) = 20849338445
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 144395
List of positive integer factors of 144395 that divides 144395 without a remainder.
1, 5, 28879, 144395
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144391 and 144395, than apply into the LCM equation.
GCF(144391,144395) = 1
LCM(144391,144395) = ( 144391 × 144395) / 1
LCM(144391,144395) = 20849338445 / 1
LCM(144391,144395) = 20849338445
(i) The LCM of 144395 and 144391 is associative
LCM of 144391 and 144395 = LCM of 144395 and 144391
1. What is the LCM of 144391 and 144395?
Answer: LCM of 144391 and 144395 is 20849338445.
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 144395?
Answer: Factors of 144395 are 1, 5, 28879, 144395. There are 4 integers that are factors of 144395. The greatest factor of 144395 is 144395.
4. How to Find the LCM of 144391 and 144395?
Answer:
Least Common Multiple of 144391 and 144395 = 20849338445
Step 1: Find the prime factorization of 144391
144391 = 13 x 29 x 383
Step 2: Find the prime factorization of 144395
144395 = 5 x 28879
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20849338445 = 5 x 13 x 29 x 383 x 28879
Step 4: Therefore, the least common multiple of 144391 and 144395 is 20849338445.