Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 144388 and 144395 the smallest integer that is 20848905260 that is divisible by both numbers.
Least Common Multiple (LCM) of 144388 and 144395 is 20848905260.
LCM(144388,144395) = 20848905260
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 144388 and 144395. First we will calculate the prime factors of 144388 and 144395.
Prime Factorization of 144388
2 | 144388 |
2 | 72194 |
36097 | 36097 |
1 |
Prime factors of 144388 are 2,36097. Prime factorization of 144388 in exponential form is:
144388 = 22×360971
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 144388 and 144395.
LCM(144388,144395) = 22×51×288791×360971
LCM(144388,144395) = 20848905260
Factors of 144388
List of positive integer factors of 144388 that divides 144388 without a remainder.
1, 2, 4, 36097, 72194, 144388
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 144388 and 144395, than apply into the LCM equation.
GCF(144388,144395) = 1
LCM(144388,144395) = ( 144388 × 144395) / 1
LCM(144388,144395) = 20848905260 / 1
LCM(144388,144395) = 20848905260
(i) The LCM of 144395 and 144388 is associative
LCM of 144388 and 144395 = LCM of 144395 and 144388
1. What is the LCM of 144388 and 144395?
Answer: LCM of 144388 and 144395 is 20848905260.
2. What are the Factors of 144388?
Answer: Factors of 144388 are 1, 2, 4, 36097, 72194, 144388. There are 6 integers that are factors of 144388. The greatest factor of 144388 is 144388.
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 144388 and 144395?
Answer:
Least Common Multiple of 144388 and 144395 = 20848905260
Step 1: Find the prime factorization of 144388
144388 = 2 x 2 x 36097
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 = 20848905260 = 2 x 2 x 5 x 28879 x 36097
Step 4: Therefore, the least common multiple of 144388 and 144395 is 20848905260.