Least Common Multiple of 311424 and 311432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311424 and 311432 the smallest integer that is 12123424896 that is divisible by both numbers.

Least Common Multiple (LCM) of 311424 and 311432 is 12123424896.

LCM(311424,311432) = 12123424896

LCM of 311424 and 311432

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

LCM of:
and

Least Common Multiple of 311424 and 311432

LCM of 311424 and 311432 is 12123424896

Least common multiple can be found by multiplying the highest exponent prime factors of 311424 and 311432. First we will calculate the prime factors of 311424 and 311432.

Prime Factorization of 311424


2 311424
2 155712
2 77856
2 38928
2 19464
2 9732
2 4866
3 2433
811 811
1

Prime factors of 311424 are 2, 3,811. Prime factorization of 311424 in exponential form is:

311424 = 27×31×8111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 311424 and 311432.

LCM(311424,311432) = 27×31×111×8111×35391
LCM(311424,311432) = 12123424896

Factors of 311424

List of positive integer factors of 311424 that divides 311424 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384, 811, 1622, 2433, 3244, 4866, 6488, 9732, 12976, 19464, 25952, 38928, 51904, 77856, 103808, 155712, 311424

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

Least Common Multiple of 311424 and 311432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311424 and 311432, than apply into the LCM equation.

GCF(311424,311432) = 8
LCM(311424,311432) = ( 311424 × 311432) / 8
LCM(311424,311432) = 96987399168 / 8
LCM(311424,311432) = 12123424896

Properties of LCM 311424 and 311432

(i) The LCM of 311432 and 311424 is associative

LCM of 311424 and 311432 = LCM of 311432 and 311424

Related Least Common Multiples of 311424

Related Least Common Multiples of 311432

Frequently Asked Questions on LCM of 311424 and 311432

1. What is the LCM of 311424 and 311432?

Answer: LCM of 311424 and 311432 is 12123424896.

2. What are the Factors of 311424?

Answer: Factors of 311424 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384, 811, 1622, 2433, 3244, 4866, 6488, 9732, 12976, 19464, 25952, 38928, 51904, 77856, 103808, 155712, 311424. There are 32 integers that are factors of 311424. The greatest factor of 311424 is 311424.

3. 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.

4. How to Find the LCM of 311424 and 311432?

Answer:

Least Common Multiple of 311424 and 311432 = 12123424896

Step 1: Find the prime factorization of 311424

311424 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 811

Step 2: Find the prime factorization of 311432

311432 = 2 x 2 x 2 x 11 x 3539

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

LCM = 12123424896 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 11 x 811 x 3539

Step 4: Therefore, the least common multiple of 311424 and 311432 is 12123424896.