Least Common Multiple of 144388 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 144388 and 144395 the smallest integer that is 20848905260 that is divisible by both numbers.

Least Common Multiple (LCM) of 144388 and 144395 is 20848905260.

LCM(144388,144395) = 20848905260

LCM of 144388 and 144395

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

LCM of:
and

Least Common Multiple of 144388 and 144395

LCM of 144388 and 144395 is 20848905260

Least common multiple can be found by multiplying the highest exponent prime factors of 144388 and 144395. First we will calculate the prime factors of 144388 and 144395.

Prime Factorization of 144388


2 144388
2 72194
36097 36097
1

Prime factors of 144388 are 2,36097. Prime factorization of 144388 in exponential form is:

144388 = 22×360971

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 144388 and 144395.

LCM(144388,144395) = 22×51×288791×360971
LCM(144388,144395) = 20848905260

Factors of 144388

List of positive integer factors of 144388 that divides 144388 without a remainder.

1, 2, 4, 36097, 72194, 144388

Factors of 144395

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

1, 5, 28879, 144395

Least Common Multiple of 144388 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 144388 and 144395, than apply into the LCM equation.

GCF(144388,144395) = 1
LCM(144388,144395) = ( 144388 × 144395) / 1
LCM(144388,144395) = 20848905260 / 1
LCM(144388,144395) = 20848905260

Properties of LCM 144388 and 144395

(i) The LCM of 144395 and 144388 is associative

LCM of 144388 and 144395 = LCM of 144395 and 144388

Related Least Common Multiples of 144388

Related Least Common Multiples of 144395

Frequently Asked Questions on LCM of 144388 and 144395

1. What is the LCM of 144388 and 144395?

Answer: LCM of 144388 and 144395 is 20848905260.

2. What are the Factors of 144388?

Answer: Factors of 144388 are 1, 2, 4, 36097, 72194, 144388. There are 6 integers that are factors of 144388. The greatest factor of 144388 is 144388.

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 144388 and 144395?

Answer:

Least Common Multiple of 144388 and 144395 = 20848905260

Step 1: Find the prime factorization of 144388

144388 = 2 x 2 x 36097

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 = 20848905260 = 2 x 2 x 5 x 28879 x 36097

Step 4: Therefore, the least common multiple of 144388 and 144395 is 20848905260.