Least Common Multiple of 144385 and 144392

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144385 and 144392 the smallest integer that is 20848038920 that is divisible by both numbers.

Least Common Multiple (LCM) of 144385 and 144392 is 20848038920.

LCM(144385,144392) = 20848038920

LCM of 144385 and 144392

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

LCM of:
and

Least Common Multiple of 144385 and 144392

LCM of 144385 and 144392 is 20848038920

Least common multiple can be found by multiplying the highest exponent prime factors of 144385 and 144392. First we will calculate the prime factors of 144385 and 144392.

Prime Factorization of 144385


5 144385
67 28877
431 431
1

Prime factors of 144385 are 5, 67,431. Prime factorization of 144385 in exponential form is:

144385 = 51×671×4311

Prime Factorization of 144392


2 144392
2 72196
2 36098
18049 18049
1

Prime factors of 144392 are 2,18049. Prime factorization of 144392 in exponential form is:

144392 = 23×180491

Now multiplying the highest exponent prime factors to calculate the LCM of 144385 and 144392.

LCM(144385,144392) = 23×51×671×4311×180491
LCM(144385,144392) = 20848038920

Factors of 144385

List of positive integer factors of 144385 that divides 144385 without a remainder.

1, 5, 67, 335, 431, 2155, 28877, 144385

Factors of 144392

List of positive integer factors of 144392 that divides 144392 without a remainder.

1, 2, 4, 8, 18049, 36098, 72196, 144392

Least Common Multiple of 144385 and 144392 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144385 and 144392, than apply into the LCM equation.

GCF(144385,144392) = 1
LCM(144385,144392) = ( 144385 × 144392) / 1
LCM(144385,144392) = 20848038920 / 1
LCM(144385,144392) = 20848038920

Properties of LCM 144385 and 144392

(i) The LCM of 144392 and 144385 is associative

LCM of 144385 and 144392 = LCM of 144392 and 144385

Related Least Common Multiples of 144385

Related Least Common Multiples of 144392

Frequently Asked Questions on LCM of 144385 and 144392

1. What is the LCM of 144385 and 144392?

Answer: LCM of 144385 and 144392 is 20848038920.

2. What are the Factors of 144385?

Answer: Factors of 144385 are 1, 5, 67, 335, 431, 2155, 28877, 144385. There are 8 integers that are factors of 144385. The greatest factor of 144385 is 144385.

3. What are the Factors of 144392?

Answer: Factors of 144392 are 1, 2, 4, 8, 18049, 36098, 72196, 144392. There are 8 integers that are factors of 144392. The greatest factor of 144392 is 144392.

4. How to Find the LCM of 144385 and 144392?

Answer:

Least Common Multiple of 144385 and 144392 = 20848038920

Step 1: Find the prime factorization of 144385

144385 = 5 x 67 x 431

Step 2: Find the prime factorization of 144392

144392 = 2 x 2 x 2 x 18049

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

LCM = 20848038920 = 2 x 2 x 2 x 5 x 67 x 431 x 18049

Step 4: Therefore, the least common multiple of 144385 and 144392 is 20848038920.