Least Common Multiple of 309428 and 309429

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 309428 and 309429 the smallest integer that is 95745996612 that is divisible by both numbers.

Least Common Multiple (LCM) of 309428 and 309429 is 95745996612.

LCM(309428,309429) = 95745996612

LCM of 309428 and 309429

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

LCM of:
and

Least Common Multiple of 309428 and 309429

LCM of 309428 and 309429 is 95745996612

Least common multiple can be found by multiplying the highest exponent prime factors of 309428 and 309429. First we will calculate the prime factors of 309428 and 309429.

Prime Factorization of 309428


2 309428
2 154714
7 77357
43 11051
257 257
1

Prime factors of 309428 are 2, 7, 43,257. Prime factorization of 309428 in exponential form is:

309428 = 22×71×431×2571

Prime Factorization of 309429


3 309429
3 103143
34381 34381
1

Prime factors of 309429 are 3,34381. Prime factorization of 309429 in exponential form is:

309429 = 32×343811

Now multiplying the highest exponent prime factors to calculate the LCM of 309428 and 309429.

LCM(309428,309429) = 22×32×71×431×2571×343811
LCM(309428,309429) = 95745996612

Factors of 309428

List of positive integer factors of 309428 that divides 309428 without a remainder.

1, 2, 4, 7, 14, 28, 43, 86, 172, 257, 301, 514, 602, 1028, 1204, 1799, 3598, 7196, 11051, 22102, 44204, 77357, 154714, 309428

Factors of 309429

List of positive integer factors of 309429 that divides 309429 without a remainder.

1, 3, 9, 34381, 103143, 309429

Least Common Multiple of 309428 and 309429 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 309428 and 309429, than apply into the LCM equation.

GCF(309428,309429) = 1
LCM(309428,309429) = ( 309428 × 309429) / 1
LCM(309428,309429) = 95745996612 / 1
LCM(309428,309429) = 95745996612

Properties of LCM 309428 and 309429

(i) The LCM of 309429 and 309428 is associative

LCM of 309428 and 309429 = LCM of 309429 and 309428

Related Least Common Multiples of 309428

Related Least Common Multiples of 309429

Frequently Asked Questions on LCM of 309428 and 309429

1. What is the LCM of 309428 and 309429?

Answer: LCM of 309428 and 309429 is 95745996612.

2. What are the Factors of 309428?

Answer: Factors of 309428 are 1, 2, 4, 7, 14, 28, 43, 86, 172, 257, 301, 514, 602, 1028, 1204, 1799, 3598, 7196, 11051, 22102, 44204, 77357, 154714, 309428. There are 24 integers that are factors of 309428. The greatest factor of 309428 is 309428.

3. What are the Factors of 309429?

Answer: Factors of 309429 are 1, 3, 9, 34381, 103143, 309429. There are 6 integers that are factors of 309429. The greatest factor of 309429 is 309429.

4. How to Find the LCM of 309428 and 309429?

Answer:

Least Common Multiple of 309428 and 309429 = 95745996612

Step 1: Find the prime factorization of 309428

309428 = 2 x 2 x 7 x 43 x 257

Step 2: Find the prime factorization of 309429

309429 = 3 x 3 x 34381

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 95745996612 = 2 x 2 x 3 x 3 x 7 x 43 x 257 x 34381

Step 4: Therefore, the least common multiple of 309428 and 309429 is 95745996612.