Least Common Multiple of 311432 and 311436

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311432 and 311436 the smallest integer that is 24247784088 that is divisible by both numbers.

Least Common Multiple (LCM) of 311432 and 311436 is 24247784088.

LCM(311432,311436) = 24247784088

LCM of 311432 and 311436

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

LCM of:
and

Least Common Multiple of 311432 and 311436

LCM of 311432 and 311436 is 24247784088

Least common multiple can be found by multiplying the highest exponent prime factors of 311432 and 311436. First we will calculate the prime factors of 311432 and 311436.

Prime Factorization of 311432


2 311432
2 155716
2 77858
11 38929
3539 3539
1

Prime factors of 311432 are 2, 11,3539. Prime factorization of 311432 in exponential form is:

311432 = 23×111×35391

Prime Factorization of 311436


2 311436
2 155718
3 77859
3 25953
41 8651
211 211
1

Prime factors of 311436 are 2, 3, 41,211. Prime factorization of 311436 in exponential form is:

311436 = 22×32×411×2111

Now multiplying the highest exponent prime factors to calculate the LCM of 311432 and 311436.

LCM(311432,311436) = 23×32×111×411×2111×35391
LCM(311432,311436) = 24247784088

Factors of 311432

List of positive integer factors of 311432 that divides 311432 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 3539, 7078, 14156, 28312, 38929, 77858, 155716, 311432

Factors of 311436

List of positive integer factors of 311436 that divides 311436 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 211, 246, 369, 422, 492, 633, 738, 844, 1266, 1476, 1899, 2532, 3798, 7596, 8651, 17302, 25953, 34604, 51906, 77859, 103812, 155718, 311436

Least Common Multiple of 311432 and 311436 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311432 and 311436, than apply into the LCM equation.

GCF(311432,311436) = 4
LCM(311432,311436) = ( 311432 × 311436) / 4
LCM(311432,311436) = 96991136352 / 4
LCM(311432,311436) = 24247784088

Properties of LCM 311432 and 311436

(i) The LCM of 311436 and 311432 is associative

LCM of 311432 and 311436 = LCM of 311436 and 311432

Related Least Common Multiples of 311432

Related Least Common Multiples of 311436

Frequently Asked Questions on LCM of 311432 and 311436

1. What is the LCM of 311432 and 311436?

Answer: LCM of 311432 and 311436 is 24247784088.

2. What are the Factors of 311432?

Answer: Factors of 311432 are 1, 2, 4, 8, 11, 22, 44, 88, 3539, 7078, 14156, 28312, 38929, 77858, 155716, 311432. There are 16 integers that are factors of 311432. The greatest factor of 311432 is 311432.

3. What are the Factors of 311436?

Answer: Factors of 311436 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 41, 82, 123, 164, 211, 246, 369, 422, 492, 633, 738, 844, 1266, 1476, 1899, 2532, 3798, 7596, 8651, 17302, 25953, 34604, 51906, 77859, 103812, 155718, 311436. There are 36 integers that are factors of 311436. The greatest factor of 311436 is 311436.

4. How to Find the LCM of 311432 and 311436?

Answer:

Least Common Multiple of 311432 and 311436 = 24247784088

Step 1: Find the prime factorization of 311432

311432 = 2 x 2 x 2 x 11 x 3539

Step 2: Find the prime factorization of 311436

311436 = 2 x 2 x 3 x 3 x 41 x 211

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

LCM = 24247784088 = 2 x 2 x 2 x 3 x 3 x 11 x 41 x 211 x 3539

Step 4: Therefore, the least common multiple of 311432 and 311436 is 24247784088.