Least Common Multiple of 144385 and 144391

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

• Least Common Multiple of 144385 and 144391 by Prime method
• Least Common Multiple of 144385 and 144391 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144385 and 144391. First we will calculate the prime factors of 144385 and 144391.

Prime Factorization of 144385

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

144385 = 5¹×67¹×431¹

Prime Factorization of 144391

Prime factors of 144391 are 13, 29,383. Prime factorization of 144391 in exponential form is:

144391 = 13¹×29¹×383¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144385 and 144391.

LCM(144385,144391) = 5¹×13¹×29¹×67¹×383¹×431¹
LCM(144385,144391) = 20847894535

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 144391

List of positive integer factors of 144391 that divides 144391 without a remainder.

1, 13, 29, 377, 383, 4979, 11107, 144391

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144385 and 144391, than apply into the LCM equation.

GCF(144385,144391) = 1
LCM(144385,144391) = ( 144385 × 144391) / 1
LCM(144385,144391) = 20847894535 / 1
LCM(144385,144391) = 20847894535

(i) The LCM of 144391 and 144385 is associative

LCM of 144385 and 144391 = LCM of 144391 and 144385

1. What is the LCM of 144385 and 144391?

Answer: LCM of 144385 and 144391 is 20847894535.

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 144391?

Answer: Factors of 144391 are 1, 13, 29, 377, 383, 4979, 11107, 144391. There are 8 integers that are factors of 144391. The greatest factor of 144391 is 144391.

4. How to Find the LCM of 144385 and 144391?

Answer:

Least Common Multiple of 144385 and 144391 = 20847894535

Step 1: Find the prime factorization of 144385

144385 = 5 x 67 x 431

Step 2: Find the prime factorization of 144391

144391 = 13 x 29 x 383

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

LCM = 20847894535 = 5 x 13 x 29 x 67 x 383 x 431

Step 4: Therefore, the least common multiple of 144385 and 144391 is 20847894535.