Least Common Multiple of 313426 and 313432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 313426 and 313432 the smallest integer that is 49118869016 that is divisible by both numbers.

Least Common Multiple (LCM) of 313426 and 313432 is 49118869016.

LCM(313426,313432) = 49118869016

LCM of 313426 and 313432

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

LCM of:
and

Least Common Multiple of 313426 and 313432

LCM of 313426 and 313432 is 49118869016

Least common multiple can be found by multiplying the highest exponent prime factors of 313426 and 313432. First we will calculate the prime factors of 313426 and 313432.

Prime Factorization of 313426


2 313426
67 156713
2339 2339
1

Prime factors of 313426 are 2, 67,2339. Prime factorization of 313426 in exponential form is:

313426 = 21×671×23391

Prime Factorization of 313432


2 313432
2 156716
2 78358
7 39179
29 5597
193 193
1

Prime factors of 313432 are 2, 7, 29,193. Prime factorization of 313432 in exponential form is:

313432 = 23×71×291×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 313426 and 313432.

LCM(313426,313432) = 23×71×291×671×1931×23391
LCM(313426,313432) = 49118869016

Factors of 313426

List of positive integer factors of 313426 that divides 313426 without a remainder.

1, 2, 67, 134, 2339, 4678, 156713, 313426

Factors of 313432

List of positive integer factors of 313432 that divides 313432 without a remainder.

1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 193, 203, 232, 386, 406, 772, 812, 1351, 1544, 1624, 2702, 5404, 5597, 10808, 11194, 22388, 39179, 44776, 78358, 156716, 313432

Least Common Multiple of 313426 and 313432 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 313426 and 313432, than apply into the LCM equation.

GCF(313426,313432) = 2
LCM(313426,313432) = ( 313426 × 313432) / 2
LCM(313426,313432) = 98237738032 / 2
LCM(313426,313432) = 49118869016

Properties of LCM 313426 and 313432

(i) The LCM of 313432 and 313426 is associative

LCM of 313426 and 313432 = LCM of 313432 and 313426

Related Least Common Multiples of 313426

Related Least Common Multiples of 313432

Frequently Asked Questions on LCM of 313426 and 313432

1. What is the LCM of 313426 and 313432?

Answer: LCM of 313426 and 313432 is 49118869016.

2. What are the Factors of 313426?

Answer: Factors of 313426 are 1, 2, 67, 134, 2339, 4678, 156713, 313426. There are 8 integers that are factors of 313426. The greatest factor of 313426 is 313426.

3. What are the Factors of 313432?

Answer: Factors of 313432 are 1, 2, 4, 7, 8, 14, 28, 29, 56, 58, 116, 193, 203, 232, 386, 406, 772, 812, 1351, 1544, 1624, 2702, 5404, 5597, 10808, 11194, 22388, 39179, 44776, 78358, 156716, 313432. There are 32 integers that are factors of 313432. The greatest factor of 313432 is 313432.

4. How to Find the LCM of 313426 and 313432?

Answer:

Least Common Multiple of 313426 and 313432 = 49118869016

Step 1: Find the prime factorization of 313426

313426 = 2 x 67 x 2339

Step 2: Find the prime factorization of 313432

313432 = 2 x 2 x 2 x 7 x 29 x 193

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

LCM = 49118869016 = 2 x 2 x 2 x 7 x 29 x 67 x 193 x 2339

Step 4: Therefore, the least common multiple of 313426 and 313432 is 49118869016.