Least Common Multiple of 144389 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 144389 and 144397 the smallest integer that is 20849338433 that is divisible by both numbers.

Least Common Multiple (LCM) of 144389 and 144397 is 20849338433.

LCM(144389,144397) = 20849338433

LCM of 144389 and 144397

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

LCM of:
and

Least Common Multiple of 144389 and 144397

LCM of 144389 and 144397 is 20849338433

Least common multiple can be found by multiplying the highest exponent prime factors of 144389 and 144397. First we will calculate the prime factors of 144389 and 144397.

Prime Factorization of 144389


7 144389
20627 20627
1

Prime factors of 144389 are 7,20627. Prime factorization of 144389 in exponential form is:

144389 = 71×206271

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 144389 and 144397.

LCM(144389,144397) = 71×111×131271×206271
LCM(144389,144397) = 20849338433

Factors of 144389

List of positive integer factors of 144389 that divides 144389 without a remainder.

1, 7, 20627, 144389

Factors of 144397

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

1, 11, 13127, 144397

Least Common Multiple of 144389 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 144389 and 144397, than apply into the LCM equation.

GCF(144389,144397) = 1
LCM(144389,144397) = ( 144389 × 144397) / 1
LCM(144389,144397) = 20849338433 / 1
LCM(144389,144397) = 20849338433

Properties of LCM 144389 and 144397

(i) The LCM of 144397 and 144389 is associative

LCM of 144389 and 144397 = LCM of 144397 and 144389

Related Least Common Multiples of 144389

Related Least Common Multiples of 144397

Frequently Asked Questions on LCM of 144389 and 144397

1. What is the LCM of 144389 and 144397?

Answer: LCM of 144389 and 144397 is 20849338433.

2. What are the Factors of 144389?

Answer: Factors of 144389 are 1, 7, 20627, 144389. There are 4 integers that are factors of 144389. The greatest factor of 144389 is 144389.

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 144389 and 144397?

Answer:

Least Common Multiple of 144389 and 144397 = 20849338433

Step 1: Find the prime factorization of 144389

144389 = 7 x 20627

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 = 20849338433 = 7 x 11 x 13127 x 20627

Step 4: Therefore, the least common multiple of 144389 and 144397 is 20849338433.