Least Common Multiple of 309428 and 309435

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 309435 the smallest integer that is 13678264740 that is divisible by both numbers.

Least Common Multiple (LCM) of 309428 and 309435 is 13678264740.

LCM(309428,309435) = 13678264740

LCM of 309428 and 309435

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

LCM of:
and

Least Common Multiple of 309428 and 309435

LCM of 309428 and 309435 is 13678264740

Least common multiple can be found by multiplying the highest exponent prime factors of 309428 and 309435. First we will calculate the prime factors of 309428 and 309435.

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 309435


3 309435
5 103145
7 20629
7 2947
421 421
1

Prime factors of 309435 are 3, 5, 7,421. Prime factorization of 309435 in exponential form is:

309435 = 31×51×72×4211

Now multiplying the highest exponent prime factors to calculate the LCM of 309428 and 309435.

LCM(309428,309435) = 22×31×51×72×431×2571×4211
LCM(309428,309435) = 13678264740

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 309435

List of positive integer factors of 309435 that divides 309435 without a remainder.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 421, 735, 1263, 2105, 2947, 6315, 8841, 14735, 20629, 44205, 61887, 103145, 309435

Least Common Multiple of 309428 and 309435 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 309435, than apply into the LCM equation.

GCF(309428,309435) = 7
LCM(309428,309435) = ( 309428 × 309435) / 7
LCM(309428,309435) = 95747853180 / 7
LCM(309428,309435) = 13678264740

Properties of LCM 309428 and 309435

(i) The LCM of 309435 and 309428 is associative

LCM of 309428 and 309435 = LCM of 309435 and 309428

Related Least Common Multiples of 309428

Related Least Common Multiples of 309435

Frequently Asked Questions on LCM of 309428 and 309435

1. What is the LCM of 309428 and 309435?

Answer: LCM of 309428 and 309435 is 13678264740.

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 309435?

Answer: Factors of 309435 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 421, 735, 1263, 2105, 2947, 6315, 8841, 14735, 20629, 44205, 61887, 103145, 309435. There are 24 integers that are factors of 309435. The greatest factor of 309435 is 309435.

4. How to Find the LCM of 309428 and 309435?

Answer:

Least Common Multiple of 309428 and 309435 = 13678264740

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 309435

309435 = 3 x 5 x 7 x 7 x 421

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

LCM = 13678264740 = 2 x 2 x 3 x 5 x 7 x 7 x 43 x 257 x 421

Step 4: Therefore, the least common multiple of 309428 and 309435 is 13678264740.