Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 309427 and 309434 the smallest integer that is 95747234318 that is divisible by both numbers.
Least Common Multiple (LCM) of 309427 and 309434 is 95747234318.
LCM(309427,309434) = 95747234318
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 309427 and 309434. First we will calculate the prime factors of 309427 and 309434.
Prime Factorization of 309427
41 | 309427 |
7547 | 7547 |
1 |
Prime factors of 309427 are 41,7547. Prime factorization of 309427 in exponential form is:
309427 = 411×75471
Prime Factorization of 309434
2 | 309434 |
17 | 154717 |
19 | 9101 |
479 | 479 |
1 |
Prime factors of 309434 are 2, 17, 19,479. Prime factorization of 309434 in exponential form is:
309434 = 21×171×191×4791
Now multiplying the highest exponent prime factors to calculate the LCM of 309427 and 309434.
LCM(309427,309434) = 21×171×191×411×4791×75471
LCM(309427,309434) = 95747234318
Factors of 309427
List of positive integer factors of 309427 that divides 309427 without a remainder.
1, 41, 7547, 309427
Factors of 309434
List of positive integer factors of 309434 that divides 309434 without a remainder.
1, 2, 17, 19, 34, 38, 323, 479, 646, 958, 8143, 9101, 16286, 18202, 154717, 309434
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309427 and 309434, than apply into the LCM equation.
GCF(309427,309434) = 1
LCM(309427,309434) = ( 309427 × 309434) / 1
LCM(309427,309434) = 95747234318 / 1
LCM(309427,309434) = 95747234318
(i) The LCM of 309434 and 309427 is associative
LCM of 309427 and 309434 = LCM of 309434 and 309427
1. What is the LCM of 309427 and 309434?
Answer: LCM of 309427 and 309434 is 95747234318.
2. What are the Factors of 309427?
Answer: Factors of 309427 are 1, 41, 7547, 309427. There are 4 integers that are factors of 309427. The greatest factor of 309427 is 309427.
3. What are the Factors of 309434?
Answer: Factors of 309434 are 1, 2, 17, 19, 34, 38, 323, 479, 646, 958, 8143, 9101, 16286, 18202, 154717, 309434. There are 16 integers that are factors of 309434. The greatest factor of 309434 is 309434.
4. How to Find the LCM of 309427 and 309434?
Answer:
Least Common Multiple of 309427 and 309434 = 95747234318
Step 1: Find the prime factorization of 309427
309427 = 41 x 7547
Step 2: Find the prime factorization of 309434
309434 = 2 x 17 x 19 x 479
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 95747234318 = 2 x 17 x 19 x 41 x 479 x 7547
Step 4: Therefore, the least common multiple of 309427 and 309434 is 95747234318.