Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 144387 and 144391 the smallest integer that is 20848183317 that is divisible by both numbers.
Least Common Multiple (LCM) of 144387 and 144391 is 20848183317.
LCM(144387,144391) = 20848183317
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 144387 and 144391. First we will calculate the prime factors of 144387 and 144391.
Prime Factorization of 144387
3 | 144387 |
3 | 48129 |
61 | 16043 |
263 | 263 |
1 |
Prime factors of 144387 are 3, 61,263. Prime factorization of 144387 in exponential form is:
144387 = 32×611×2631
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
Now multiplying the highest exponent prime factors to calculate the LCM of 144387 and 144391.
LCM(144387,144391) = 32×131×291×611×2631×3831
LCM(144387,144391) = 20848183317
Factors of 144387
List of positive integer factors of 144387 that divides 144387 without a remainder.
1, 3, 9, 61, 183, 263, 549, 789, 2367, 16043, 48129, 144387
Factors of 144391
List of positive integer factors of 144391 that divides 144391 without a remainder.
1, 13, 29, 377, 383, 4979, 11107, 144391
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144387 and 144391, than apply into the LCM equation.
GCF(144387,144391) = 1
LCM(144387,144391) = ( 144387 × 144391) / 1
LCM(144387,144391) = 20848183317 / 1
LCM(144387,144391) = 20848183317
(i) The LCM of 144391 and 144387 is associative
LCM of 144387 and 144391 = LCM of 144391 and 144387
1. What is the LCM of 144387 and 144391?
Answer: LCM of 144387 and 144391 is 20848183317.
2. What are the Factors of 144387?
Answer: Factors of 144387 are 1, 3, 9, 61, 183, 263, 549, 789, 2367, 16043, 48129, 144387. There are 12 integers that are factors of 144387. The greatest factor of 144387 is 144387.
3. 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.
4. How to Find the LCM of 144387 and 144391?
Answer:
Least Common Multiple of 144387 and 144391 = 20848183317
Step 1: Find the prime factorization of 144387
144387 = 3 x 3 x 61 x 263
Step 2: Find the prime factorization of 144391
144391 = 13 x 29 x 383
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20848183317 = 3 x 3 x 13 x 29 x 61 x 263 x 383
Step 4: Therefore, the least common multiple of 144387 and 144391 is 20848183317.