Least Common Multiple of 144393 and 144401

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 144401 the smallest integer that is 20850493593 that is divisible by both numbers.

Least Common Multiple (LCM) of 144393 and 144401 is 20850493593.

LCM(144393,144401) = 20850493593

LCM of 144393 and 144401

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

LCM of:
and

Least Common Multiple of 144393 and 144401

LCM of 144393 and 144401 is 20850493593

Least common multiple can be found by multiplying the highest exponent prime factors of 144393 and 144401. First we will calculate the prime factors of 144393 and 144401.

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 144401


197 144401
733 733
1

Prime factors of 144401 are 197,733. Prime factorization of 144401 in exponential form is:

144401 = 1971×7331

Now multiplying the highest exponent prime factors to calculate the LCM of 144393 and 144401.

LCM(144393,144401) = 31×1971×7331×481311
LCM(144393,144401) = 20850493593

Factors of 144393

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

1, 3, 48131, 144393

Factors of 144401

List of positive integer factors of 144401 that divides 144401 without a remainder.

1, 197, 733, 144401

Least Common Multiple of 144393 and 144401 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 144401, than apply into the LCM equation.

GCF(144393,144401) = 1
LCM(144393,144401) = ( 144393 × 144401) / 1
LCM(144393,144401) = 20850493593 / 1
LCM(144393,144401) = 20850493593

Properties of LCM 144393 and 144401

(i) The LCM of 144401 and 144393 is associative

LCM of 144393 and 144401 = LCM of 144401 and 144393

Related Least Common Multiples of 144393

Related Least Common Multiples of 144401

Frequently Asked Questions on LCM of 144393 and 144401

1. What is the LCM of 144393 and 144401?

Answer: LCM of 144393 and 144401 is 20850493593.

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 144401?

Answer: Factors of 144401 are 1, 197, 733, 144401. There are 4 integers that are factors of 144401. The greatest factor of 144401 is 144401.

4. How to Find the LCM of 144393 and 144401?

Answer:

Least Common Multiple of 144393 and 144401 = 20850493593

Step 1: Find the prime factorization of 144393

144393 = 3 x 48131

Step 2: Find the prime factorization of 144401

144401 = 197 x 733

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

LCM = 20850493593 = 3 x 197 x 733 x 48131

Step 4: Therefore, the least common multiple of 144393 and 144401 is 20850493593.