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 144394 the smallest integer that is 20848905266 that is divisible by both numbers.
Least Common Multiple (LCM) of 144389 and 144394 is 20848905266.
LCM(144389,144394) = 20848905266
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 144394. First we will calculate the prime factors of 144389 and 144394.
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 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
Now multiplying the highest exponent prime factors to calculate the LCM of 144389 and 144394.
LCM(144389,144394) = 21×71×231×431×731×206271
LCM(144389,144394) = 20848905266
Factors of 144389
List of positive integer factors of 144389 that divides 144389 without a remainder.
1, 7, 20627, 144389
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
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144389 and 144394, than apply into the LCM equation.
GCF(144389,144394) = 1
LCM(144389,144394) = ( 144389 × 144394) / 1
LCM(144389,144394) = 20848905266 / 1
LCM(144389,144394) = 20848905266
(i) The LCM of 144394 and 144389 is associative
LCM of 144389 and 144394 = LCM of 144394 and 144389
1. What is the LCM of 144389 and 144394?
Answer: LCM of 144389 and 144394 is 20848905266.
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 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.
4. How to Find the LCM of 144389 and 144394?
Answer:
Least Common Multiple of 144389 and 144394 = 20848905266
Step 1: Find the prime factorization of 144389
144389 = 7 x 20627
Step 2: Find the prime factorization of 144394
144394 = 2 x 23 x 43 x 73
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 20848905266 = 2 x 7 x 23 x 43 x 73 x 20627
Step 4: Therefore, the least common multiple of 144389 and 144394 is 20848905266.