Least Common Multiple of 309427 and 309434

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

LCM of 309427 and 309434

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 309427 and 309434

LCM of 309427 and 309434 is 95747234318

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

Least Common Multiple of 309427 and 309434 with GCF Formula

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

Properties of LCM 309427 and 309434

(i) The LCM of 309434 and 309427 is associative

LCM of 309427 and 309434 = LCM of 309434 and 309427

Frequently Asked Questions on LCM of 309427 and 309434

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.