Least Common Multiple of 144391 and 144397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144391 and 144397 the smallest integer that is 20849627227 that is divisible by both numbers.

Least Common Multiple (LCM) of 144391 and 144397 is 20849627227.

LCM(144391,144397) = 20849627227

LCM of 144391 and 144397

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

LCM of:
and

Least Common Multiple of 144391 and 144397

LCM of 144391 and 144397 is 20849627227

Least common multiple can be found by multiplying the highest exponent prime factors of 144391 and 144397. First we will calculate the prime factors of 144391 and 144397.

Prime Factorization of 144391


13 144391
29 11107
383 383
1

Prime factors of 144391 are 13, 29,383. Prime factorization of 144391 in exponential form is:

144391 = 131×291×3831

Prime Factorization of 144397


11 144397
13127 13127
1

Prime factors of 144397 are 11,13127. Prime factorization of 144397 in exponential form is:

144397 = 111×131271

Now multiplying the highest exponent prime factors to calculate the LCM of 144391 and 144397.

LCM(144391,144397) = 111×131×291×3831×131271
LCM(144391,144397) = 20849627227

Factors of 144391

List of positive integer factors of 144391 that divides 144391 without a remainder.

1, 13, 29, 377, 383, 4979, 11107, 144391

Factors of 144397

List of positive integer factors of 144397 that divides 144397 without a remainder.

1, 11, 13127, 144397

Least Common Multiple of 144391 and 144397 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144391 and 144397, than apply into the LCM equation.

GCF(144391,144397) = 1
LCM(144391,144397) = ( 144391 × 144397) / 1
LCM(144391,144397) = 20849627227 / 1
LCM(144391,144397) = 20849627227

Properties of LCM 144391 and 144397

(i) The LCM of 144397 and 144391 is associative

LCM of 144391 and 144397 = LCM of 144397 and 144391

Related Least Common Multiples of 144391

Related Least Common Multiples of 144397

Frequently Asked Questions on LCM of 144391 and 144397

1. What is the LCM of 144391 and 144397?

Answer: LCM of 144391 and 144397 is 20849627227.

2. What are the Factors of 144391?

Answer: Factors of 144391 are 1, 13, 29, 377, 383, 4979, 11107, 144391. There are 8 integers that are factors of 144391. The greatest factor of 144391 is 144391.

3. What are the Factors of 144397?

Answer: Factors of 144397 are 1, 11, 13127, 144397. There are 4 integers that are factors of 144397. The greatest factor of 144397 is 144397.

4. How to Find the LCM of 144391 and 144397?

Answer:

Least Common Multiple of 144391 and 144397 = 20849627227

Step 1: Find the prime factorization of 144391

144391 = 13 x 29 x 383

Step 2: Find the prime factorization of 144397

144397 = 11 x 13127

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

LCM = 20849627227 = 11 x 13 x 29 x 383 x 13127

Step 4: Therefore, the least common multiple of 144391 and 144397 is 20849627227.