Least Common Multiple of 144389 and 144393

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 144393 the smallest integer that is 20848760877 that is divisible by both numbers.

Least Common Multiple (LCM) of 144389 and 144393 is 20848760877.

LCM(144389,144393) = 20848760877

LCM of 144389 and 144393

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

LCM of:
and

Least Common Multiple of 144389 and 144393

LCM of 144389 and 144393 is 20848760877

Least common multiple can be found by multiplying the highest exponent prime factors of 144389 and 144393. First we will calculate the prime factors of 144389 and 144393.

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 144393


3 144393
48131 48131
1

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

144393 = 31×481311

Now multiplying the highest exponent prime factors to calculate the LCM of 144389 and 144393.

LCM(144389,144393) = 31×71×206271×481311
LCM(144389,144393) = 20848760877

Factors of 144389

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

1, 7, 20627, 144389

Factors of 144393

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

1, 3, 48131, 144393

Least Common Multiple of 144389 and 144393 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 144393, than apply into the LCM equation.

GCF(144389,144393) = 1
LCM(144389,144393) = ( 144389 × 144393) / 1
LCM(144389,144393) = 20848760877 / 1
LCM(144389,144393) = 20848760877

Properties of LCM 144389 and 144393

(i) The LCM of 144393 and 144389 is associative

LCM of 144389 and 144393 = LCM of 144393 and 144389

Related Least Common Multiples of 144389

Related Least Common Multiples of 144393

Frequently Asked Questions on LCM of 144389 and 144393

1. What is the LCM of 144389 and 144393?

Answer: LCM of 144389 and 144393 is 20848760877.

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 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.

4. How to Find the LCM of 144389 and 144393?

Answer:

Least Common Multiple of 144389 and 144393 = 20848760877

Step 1: Find the prime factorization of 144389

144389 = 7 x 20627

Step 2: Find the prime factorization of 144393

144393 = 3 x 48131

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

LCM = 20848760877 = 3 x 7 x 20627 x 48131

Step 4: Therefore, the least common multiple of 144389 and 144393 is 20848760877.