Least Common Multiple of 144389 and 144395

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 144395 the smallest integer that is 20849049655 that is divisible by both numbers.

Least Common Multiple (LCM) of 144389 and 144395 is 20849049655.

LCM(144389,144395) = 20849049655

LCM of 144389 and 144395

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

LCM of:
and

Least Common Multiple of 144389 and 144395

LCM of 144389 and 144395 is 20849049655

Least common multiple can be found by multiplying the highest exponent prime factors of 144389 and 144395. First we will calculate the prime factors of 144389 and 144395.

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 144395


5 144395
28879 28879
1

Prime factors of 144395 are 5,28879. Prime factorization of 144395 in exponential form is:

144395 = 51×288791

Now multiplying the highest exponent prime factors to calculate the LCM of 144389 and 144395.

LCM(144389,144395) = 51×71×206271×288791
LCM(144389,144395) = 20849049655

Factors of 144389

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

1, 7, 20627, 144389

Factors of 144395

List of positive integer factors of 144395 that divides 144395 without a remainder.

1, 5, 28879, 144395

Least Common Multiple of 144389 and 144395 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 144395, than apply into the LCM equation.

GCF(144389,144395) = 1
LCM(144389,144395) = ( 144389 × 144395) / 1
LCM(144389,144395) = 20849049655 / 1
LCM(144389,144395) = 20849049655

Properties of LCM 144389 and 144395

(i) The LCM of 144395 and 144389 is associative

LCM of 144389 and 144395 = LCM of 144395 and 144389

Related Least Common Multiples of 144389

Related Least Common Multiples of 144395

Frequently Asked Questions on LCM of 144389 and 144395

1. What is the LCM of 144389 and 144395?

Answer: LCM of 144389 and 144395 is 20849049655.

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 144395?

Answer: Factors of 144395 are 1, 5, 28879, 144395. There are 4 integers that are factors of 144395. The greatest factor of 144395 is 144395.

4. How to Find the LCM of 144389 and 144395?

Answer:

Least Common Multiple of 144389 and 144395 = 20849049655

Step 1: Find the prime factorization of 144389

144389 = 7 x 20627

Step 2: Find the prime factorization of 144395

144395 = 5 x 28879

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

LCM = 20849049655 = 5 x 7 x 20627 x 28879

Step 4: Therefore, the least common multiple of 144389 and 144395 is 20849049655.