Least Common Multiple of 144393 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 144393 and 144397 the smallest integer that is 20849916021 that is divisible by both numbers.

Least Common Multiple (LCM) of 144393 and 144397 is 20849916021.

LCM(144393,144397) = 20849916021

LCM of 144393 and 144397

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

LCM of:
and

Least Common Multiple of 144393 and 144397

LCM of 144393 and 144397 is 20849916021

Least common multiple can be found by multiplying the highest exponent prime factors of 144393 and 144397. First we will calculate the prime factors of 144393 and 144397.

Prime Factorization of 144393


3 144393
48131 48131
1

Prime factors of 144393 are 3,48131. Prime factorization of 144393 in exponential form is:

144393 = 31×481311

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 144393 and 144397.

LCM(144393,144397) = 31×111×131271×481311
LCM(144393,144397) = 20849916021

Factors of 144393

List of positive integer factors of 144393 that divides 144393 without a remainder.

1, 3, 48131, 144393

Factors of 144397

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

1, 11, 13127, 144397

Least Common Multiple of 144393 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 144393 and 144397, than apply into the LCM equation.

GCF(144393,144397) = 1
LCM(144393,144397) = ( 144393 × 144397) / 1
LCM(144393,144397) = 20849916021 / 1
LCM(144393,144397) = 20849916021

Properties of LCM 144393 and 144397

(i) The LCM of 144397 and 144393 is associative

LCM of 144393 and 144397 = LCM of 144397 and 144393

Related Least Common Multiples of 144393

Related Least Common Multiples of 144397

Frequently Asked Questions on LCM of 144393 and 144397

1. What is the LCM of 144393 and 144397?

Answer: LCM of 144393 and 144397 is 20849916021.

2. What are the Factors of 144393?

Answer: Factors of 144393 are 1, 3, 48131, 144393. There are 4 integers that are factors of 144393. The greatest factor of 144393 is 144393.

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 144393 and 144397?

Answer:

Least Common Multiple of 144393 and 144397 = 20849916021

Step 1: Find the prime factorization of 144393

144393 = 3 x 48131

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 = 20849916021 = 3 x 11 x 13127 x 48131

Step 4: Therefore, the least common multiple of 144393 and 144397 is 20849916021.