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 144393 the smallest integer that is 20848760877 that is divisible by both numbers.
Least Common Multiple (LCM) of 144389 and 144393 is 20848760877.
LCM(144389,144393) = 20848760877
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 144393. First we will calculate the prime factors of 144389 and 144393.
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 144393
3 | 144393 |
48131 | 48131 |
1 |
Prime factors of 144393 are 3,48131. Prime factorization of 144393 in exponential form is:
144393 = 31×481311
Now multiplying the highest exponent prime factors to calculate the LCM of 144389 and 144393.
LCM(144389,144393) = 31×71×206271×481311
LCM(144389,144393) = 20848760877
Factors of 144389
List of positive integer factors of 144389 that divides 144389 without a remainder.
1, 7, 20627, 144389
Factors of 144393
List of positive integer factors of 144393 that divides 144393 without a remainder.
1, 3, 48131, 144393
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144389 and 144393, than apply into the LCM equation.
GCF(144389,144393) = 1
LCM(144389,144393) = ( 144389 × 144393) / 1
LCM(144389,144393) = 20848760877 / 1
LCM(144389,144393) = 20848760877
(i) The LCM of 144393 and 144389 is associative
LCM of 144389 and 144393 = LCM of 144393 and 144389
1. What is the LCM of 144389 and 144393?
Answer: LCM of 144389 and 144393 is 20848760877.
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 144393?
Answer: Factors of 144393 are 1, 3, 48131, 144393. There are 4 integers that are factors of 144393. The greatest factor of 144393 is 144393.
4. How to Find the LCM of 144389 and 144393?
Answer:
Least Common Multiple of 144389 and 144393 = 20848760877
Step 1: Find the prime factorization of 144389
144389 = 7 x 20627
Step 2: Find the prime factorization of 144393
144393 = 3 x 48131
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20848760877 = 3 x 7 x 20627 x 48131
Step 4: Therefore, the least common multiple of 144389 and 144393 is 20848760877.