Least Common Multiple of 144394 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 144394 and 144395 the smallest integer that is 20849771630 that is divisible by both numbers.

Least Common Multiple (LCM) of 144394 and 144395 is 20849771630.

LCM(144394,144395) = 20849771630

LCM of 144394 and 144395

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

LCM of:
and

Least Common Multiple of 144394 and 144395

LCM of 144394 and 144395 is 20849771630

Least common multiple can be found by multiplying the highest exponent prime factors of 144394 and 144395. First we will calculate the prime factors of 144394 and 144395.

Prime Factorization of 144394


2 144394
23 72197
43 3139
73 73
1

Prime factors of 144394 are 2, 23, 43,73. Prime factorization of 144394 in exponential form is:

144394 = 21×231×431×731

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 144394 and 144395.

LCM(144394,144395) = 21×51×231×431×731×288791
LCM(144394,144395) = 20849771630

Factors of 144394

List of positive integer factors of 144394 that divides 144394 without a remainder.

1, 2, 23, 43, 46, 73, 86, 146, 989, 1679, 1978, 3139, 3358, 6278, 72197, 144394

Factors of 144395

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

1, 5, 28879, 144395

Least Common Multiple of 144394 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 144394 and 144395, than apply into the LCM equation.

GCF(144394,144395) = 1
LCM(144394,144395) = ( 144394 × 144395) / 1
LCM(144394,144395) = 20849771630 / 1
LCM(144394,144395) = 20849771630

Properties of LCM 144394 and 144395

(i) The LCM of 144395 and 144394 is associative

LCM of 144394 and 144395 = LCM of 144395 and 144394

Frequently Asked Questions on LCM of 144394 and 144395

1. What is the LCM of 144394 and 144395?

Answer: LCM of 144394 and 144395 is 20849771630.

2. What are the Factors of 144394?

Answer: Factors of 144394 are 1, 2, 23, 43, 46, 73, 86, 146, 989, 1679, 1978, 3139, 3358, 6278, 72197, 144394. There are 16 integers that are factors of 144394. The greatest factor of 144394 is 144394.

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 144394 and 144395?

Answer:

Least Common Multiple of 144394 and 144395 = 20849771630

Step 1: Find the prime factorization of 144394

144394 = 2 x 23 x 43 x 73

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 = 20849771630 = 2 x 5 x 23 x 43 x 73 x 28879

Step 4: Therefore, the least common multiple of 144394 and 144395 is 20849771630.