Least Common Multiple of 310436 and 310444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 310436 and 310444 the smallest integer that is 24093248396 that is divisible by both numbers.

Least Common Multiple (LCM) of 310436 and 310444 is 24093248396.

LCM(310436,310444) = 24093248396

LCM of 310436 and 310444

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

LCM of:
and

Least Common Multiple of 310436 and 310444

LCM of 310436 and 310444 is 24093248396

Least common multiple can be found by multiplying the highest exponent prime factors of 310436 and 310444. First we will calculate the prime factors of 310436 and 310444.

Prime Factorization of 310436


2 310436
2 155218
7 77609
11087 11087
1

Prime factors of 310436 are 2, 7,11087. Prime factorization of 310436 in exponential form is:

310436 = 22×71×110871

Prime Factorization of 310444


2 310444
2 155222
77611 77611
1

Prime factors of 310444 are 2,77611. Prime factorization of 310444 in exponential form is:

310444 = 22×776111

Now multiplying the highest exponent prime factors to calculate the LCM of 310436 and 310444.

LCM(310436,310444) = 22×71×110871×776111
LCM(310436,310444) = 24093248396

Factors of 310436

List of positive integer factors of 310436 that divides 310436 without a remainder.

1, 2, 4, 7, 14, 28, 11087, 22174, 44348, 77609, 155218, 310436

Factors of 310444

List of positive integer factors of 310444 that divides 310444 without a remainder.

1, 2, 4, 77611, 155222, 310444

Least Common Multiple of 310436 and 310444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 310436 and 310444, than apply into the LCM equation.

GCF(310436,310444) = 4
LCM(310436,310444) = ( 310436 × 310444) / 4
LCM(310436,310444) = 96372993584 / 4
LCM(310436,310444) = 24093248396

Properties of LCM 310436 and 310444

(i) The LCM of 310444 and 310436 is associative

LCM of 310436 and 310444 = LCM of 310444 and 310436

Related Least Common Multiples of 310436

Related Least Common Multiples of 310444

Frequently Asked Questions on LCM of 310436 and 310444

1. What is the LCM of 310436 and 310444?

Answer: LCM of 310436 and 310444 is 24093248396.

2. What are the Factors of 310436?

Answer: Factors of 310436 are 1, 2, 4, 7, 14, 28, 11087, 22174, 44348, 77609, 155218, 310436. There are 12 integers that are factors of 310436. The greatest factor of 310436 is 310436.

3. What are the Factors of 310444?

Answer: Factors of 310444 are 1, 2, 4, 77611, 155222, 310444. There are 6 integers that are factors of 310444. The greatest factor of 310444 is 310444.

4. How to Find the LCM of 310436 and 310444?

Answer:

Least Common Multiple of 310436 and 310444 = 24093248396

Step 1: Find the prime factorization of 310436

310436 = 2 x 2 x 7 x 11087

Step 2: Find the prime factorization of 310444

310444 = 2 x 2 x 77611

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

LCM = 24093248396 = 2 x 2 x 7 x 11087 x 77611

Step 4: Therefore, the least common multiple of 310436 and 310444 is 24093248396.