Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 144389 and 144395 the smallest integer that is 20849049655 that is divisible by both numbers.
Least Common Multiple (LCM) of 144389 and 144395 is 20849049655.
LCM(144389,144395) = 20849049655
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 144389 and 144395. First we will calculate the prime factors of 144389 and 144395.
Prime Factorization of 144389
7 | 144389 |
20627 | 20627 |
1 |
Prime factors of 144389 are 7,20627. Prime factorization of 144389 in exponential form is:
144389 = 71×206271
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 144389 and 144395.
LCM(144389,144395) = 51×71×206271×288791
LCM(144389,144395) = 20849049655
Factors of 144389
List of positive integer factors of 144389 that divides 144389 without a remainder.
1, 7, 20627, 144389
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 144389 and 144395, than apply into the LCM equation.
GCF(144389,144395) = 1
LCM(144389,144395) = ( 144389 × 144395) / 1
LCM(144389,144395) = 20849049655 / 1
LCM(144389,144395) = 20849049655
(i) The LCM of 144395 and 144389 is associative
LCM of 144389 and 144395 = LCM of 144395 and 144389
1. What is the LCM of 144389 and 144395?
Answer: LCM of 144389 and 144395 is 20849049655.
2. What are the Factors of 144389?
Answer: Factors of 144389 are 1, 7, 20627, 144389. There are 4 integers that are factors of 144389. The greatest factor of 144389 is 144389.
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 144389 and 144395?
Answer:
Least Common Multiple of 144389 and 144395 = 20849049655
Step 1: Find the prime factorization of 144389
144389 = 7 x 20627
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 = 20849049655 = 5 x 7 x 20627 x 28879
Step 4: Therefore, the least common multiple of 144389 and 144395 is 20849049655.