Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 144394 and 144395 the smallest integer that is 20849771630 that is divisible by both numbers.
Least Common Multiple (LCM) of 144394 and 144395 is 20849771630.
LCM(144394,144395) = 20849771630
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 144394 and 144395. First we will calculate the prime factors of 144394 and 144395.
Prime Factorization of 144394
2 | 144394 |
23 | 72197 |
43 | 3139 |
73 | 73 |
1 |
Prime factors of 144394 are 2, 23, 43,73. Prime factorization of 144394 in exponential form is:
144394 = 21×231×431×731
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 144394 and 144395.
LCM(144394,144395) = 21×51×231×431×731×288791
LCM(144394,144395) = 20849771630
Factors of 144394
List of positive integer factors of 144394 that divides 144394 without a remainder.
1, 2, 23, 43, 46, 73, 86, 146, 989, 1679, 1978, 3139, 3358, 6278, 72197, 144394
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 144394 and 144395, than apply into the LCM equation.
GCF(144394,144395) = 1
LCM(144394,144395) = ( 144394 × 144395) / 1
LCM(144394,144395) = 20849771630 / 1
LCM(144394,144395) = 20849771630
(i) The LCM of 144395 and 144394 is associative
LCM of 144394 and 144395 = LCM of 144395 and 144394
1. What is the LCM of 144394 and 144395?
Answer: LCM of 144394 and 144395 is 20849771630.
2. What are the Factors of 144394?
Answer: Factors of 144394 are 1, 2, 23, 43, 46, 73, 86, 146, 989, 1679, 1978, 3139, 3358, 6278, 72197, 144394. There are 16 integers that are factors of 144394. The greatest factor of 144394 is 144394.
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 144394 and 144395?
Answer:
Least Common Multiple of 144394 and 144395 = 20849771630
Step 1: Find the prime factorization of 144394
144394 = 2 x 23 x 43 x 73
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 = 20849771630 = 2 x 5 x 23 x 43 x 73 x 28879
Step 4: Therefore, the least common multiple of 144394 and 144395 is 20849771630.