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 144398 the smallest integer that is 20849771618 that is divisible by both numbers.
Least Common Multiple (LCM) of 144391 and 144398 is 20849771618.
LCM(144391,144398) = 20849771618
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 144398. First we will calculate the prime factors of 144391 and 144398.
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 144398
2 | 144398 |
17 | 72199 |
31 | 4247 |
137 | 137 |
1 |
Prime factors of 144398 are 2, 17, 31,137. Prime factorization of 144398 in exponential form is:
144398 = 21×171×311×1371
Now multiplying the highest exponent prime factors to calculate the LCM of 144391 and 144398.
LCM(144391,144398) = 21×131×171×291×311×1371×3831
LCM(144391,144398) = 20849771618
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 144398
List of positive integer factors of 144398 that divides 144398 without a remainder.
1, 2, 17, 31, 34, 62, 137, 274, 527, 1054, 2329, 4247, 4658, 8494, 72199, 144398
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144391 and 144398, than apply into the LCM equation.
GCF(144391,144398) = 1
LCM(144391,144398) = ( 144391 × 144398) / 1
LCM(144391,144398) = 20849771618 / 1
LCM(144391,144398) = 20849771618
(i) The LCM of 144398 and 144391 is associative
LCM of 144391 and 144398 = LCM of 144398 and 144391
1. What is the LCM of 144391 and 144398?
Answer: LCM of 144391 and 144398 is 20849771618.
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 144398?
Answer: Factors of 144398 are 1, 2, 17, 31, 34, 62, 137, 274, 527, 1054, 2329, 4247, 4658, 8494, 72199, 144398. There are 16 integers that are factors of 144398. The greatest factor of 144398 is 144398.
4. How to Find the LCM of 144391 and 144398?
Answer:
Least Common Multiple of 144391 and 144398 = 20849771618
Step 1: Find the prime factorization of 144391
144391 = 13 x 29 x 383
Step 2: Find the prime factorization of 144398
144398 = 2 x 17 x 31 x 137
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20849771618 = 2 x 13 x 17 x 29 x 31 x 137 x 383
Step 4: Therefore, the least common multiple of 144391 and 144398 is 20849771618.