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 144399 the smallest integer that is 20849916009 that is divisible by both numbers.
Least Common Multiple (LCM) of 144391 and 144399 is 20849916009.
LCM(144391,144399) = 20849916009
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 144399. First we will calculate the prime factors of 144391 and 144399.
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 144399
3 | 144399 |
127 | 48133 |
379 | 379 |
1 |
Prime factors of 144399 are 3, 127,379. Prime factorization of 144399 in exponential form is:
144399 = 31×1271×3791
Now multiplying the highest exponent prime factors to calculate the LCM of 144391 and 144399.
LCM(144391,144399) = 31×131×291×1271×3791×3831
LCM(144391,144399) = 20849916009
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 144399
List of positive integer factors of 144399 that divides 144399 without a remainder.
1, 3, 127, 379, 381, 1137, 48133, 144399
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144391 and 144399, than apply into the LCM equation.
GCF(144391,144399) = 1
LCM(144391,144399) = ( 144391 × 144399) / 1
LCM(144391,144399) = 20849916009 / 1
LCM(144391,144399) = 20849916009
(i) The LCM of 144399 and 144391 is associative
LCM of 144391 and 144399 = LCM of 144399 and 144391
1. What is the LCM of 144391 and 144399?
Answer: LCM of 144391 and 144399 is 20849916009.
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 144399?
Answer: Factors of 144399 are 1, 3, 127, 379, 381, 1137, 48133, 144399. There are 8 integers that are factors of 144399. The greatest factor of 144399 is 144399.
4. How to Find the LCM of 144391 and 144399?
Answer:
Least Common Multiple of 144391 and 144399 = 20849916009
Step 1: Find the prime factorization of 144391
144391 = 13 x 29 x 383
Step 2: Find the prime factorization of 144399
144399 = 3 x 127 x 379
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20849916009 = 3 x 13 x 29 x 127 x 379 x 383
Step 4: Therefore, the least common multiple of 144391 and 144399 is 20849916009.