Least Common Multiple of 311427 and 311431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 311427 and 311431 the smallest integer that is 96988022037 that is divisible by both numbers.

Least Common Multiple (LCM) of 311427 and 311431 is 96988022037.

LCM(311427,311431) = 96988022037

LCM of 311427 and 311431

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

LCM of:
and

Least Common Multiple of 311427 and 311431

LCM of 311427 and 311431 is 96988022037

Least common multiple can be found by multiplying the highest exponent prime factors of 311427 and 311431. First we will calculate the prime factors of 311427 and 311431.

Prime Factorization of 311427


3 311427
3 103809
34603 34603
1

Prime factors of 311427 are 3,34603. Prime factorization of 311427 in exponential form is:

311427 = 32×346031

Prime Factorization of 311431


29 311431
10739 10739
1

Prime factors of 311431 are 29,10739. Prime factorization of 311431 in exponential form is:

311431 = 291×107391

Now multiplying the highest exponent prime factors to calculate the LCM of 311427 and 311431.

LCM(311427,311431) = 32×291×107391×346031
LCM(311427,311431) = 96988022037

Factors of 311427

List of positive integer factors of 311427 that divides 311427 without a remainder.

1, 3, 9, 34603, 103809, 311427

Factors of 311431

List of positive integer factors of 311431 that divides 311431 without a remainder.

1, 29, 10739, 311431

Least Common Multiple of 311427 and 311431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 311427 and 311431, than apply into the LCM equation.

GCF(311427,311431) = 1
LCM(311427,311431) = ( 311427 × 311431) / 1
LCM(311427,311431) = 96988022037 / 1
LCM(311427,311431) = 96988022037

Properties of LCM 311427 and 311431

(i) The LCM of 311431 and 311427 is associative

LCM of 311427 and 311431 = LCM of 311431 and 311427

Related Least Common Multiples of 311427

Related Least Common Multiples of 311431

Frequently Asked Questions on LCM of 311427 and 311431

1. What is the LCM of 311427 and 311431?

Answer: LCM of 311427 and 311431 is 96988022037.

2. What are the Factors of 311427?

Answer: Factors of 311427 are 1, 3, 9, 34603, 103809, 311427. There are 6 integers that are factors of 311427. The greatest factor of 311427 is 311427.

3. What are the Factors of 311431?

Answer: Factors of 311431 are 1, 29, 10739, 311431. There are 4 integers that are factors of 311431. The greatest factor of 311431 is 311431.

4. How to Find the LCM of 311427 and 311431?

Answer:

Least Common Multiple of 311427 and 311431 = 96988022037

Step 1: Find the prime factorization of 311427

311427 = 3 x 3 x 34603

Step 2: Find the prime factorization of 311431

311431 = 29 x 10739

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

LCM = 96988022037 = 3 x 3 x 29 x 10739 x 34603

Step 4: Therefore, the least common multiple of 311427 and 311431 is 96988022037.