Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 144387 and 144394 the smallest integer that is 20848616478 that is divisible by both numbers.
Least Common Multiple (LCM) of 144387 and 144394 is 20848616478.
LCM(144387,144394) = 20848616478
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 144387 and 144394. First we will calculate the prime factors of 144387 and 144394.
Prime Factorization of 144387
3 | 144387 |
3 | 48129 |
61 | 16043 |
263 | 263 |
1 |
Prime factors of 144387 are 3, 61,263. Prime factorization of 144387 in exponential form is:
144387 = 32×611×2631
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 144387 and 144394.
LCM(144387,144394) = 21×32×231×431×611×731×2631
LCM(144387,144394) = 20848616478
Factors of 144387
List of positive integer factors of 144387 that divides 144387 without a remainder.
1, 3, 9, 61, 183, 263, 549, 789, 2367, 16043, 48129, 144387
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 144387 and 144394, than apply into the LCM equation.
GCF(144387,144394) = 1
LCM(144387,144394) = ( 144387 × 144394) / 1
LCM(144387,144394) = 20848616478 / 1
LCM(144387,144394) = 20848616478
(i) The LCM of 144394 and 144387 is associative
LCM of 144387 and 144394 = LCM of 144394 and 144387
1. What is the LCM of 144387 and 144394?
Answer: LCM of 144387 and 144394 is 20848616478.
2. What are the Factors of 144387?
Answer: Factors of 144387 are 1, 3, 9, 61, 183, 263, 549, 789, 2367, 16043, 48129, 144387. There are 12 integers that are factors of 144387. The greatest factor of 144387 is 144387.
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 144387 and 144394?
Answer:
Least Common Multiple of 144387 and 144394 = 20848616478
Step 1: Find the prime factorization of 144387
144387 = 3 x 3 x 61 x 263
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 = 20848616478 = 2 x 3 x 3 x 23 x 43 x 61 x 73 x 263
Step 4: Therefore, the least common multiple of 144387 and 144394 is 20848616478.