Least Common Multiple of 144391 and 144399

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

• Least Common Multiple of 144391 and 144399 by Prime method
• Least Common Multiple of 144391 and 144399 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144391 and 144399. First we will calculate the prime factors of 144391 and 144399.

Prime Factorization of 144391

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

144391 = 13¹×29¹×383¹

Prime Factorization of 144399

Prime factors of 144399 are 3, 127,379. Prime factorization of 144399 in exponential form is:

144399 = 3¹×127¹×379¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144391 and 144399.

LCM(144391,144399) = 3¹×13¹×29¹×127¹×379¹×383¹
LCM(144391,144399) = 20849916009

Factors of 144391

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

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

Factors of 144399

List of positive integer factors of 144399 that divides 144399 without a remainder.

1, 3, 127, 379, 381, 1137, 48133, 144399

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144391 and 144399, than apply into the LCM equation.

GCF(144391,144399) = 1
LCM(144391,144399) = ( 144391 × 144399) / 1
LCM(144391,144399) = 20849916009 / 1
LCM(144391,144399) = 20849916009

(i) The LCM of 144399 and 144391 is associative

LCM of 144391 and 144399 = LCM of 144399 and 144391

1. What is the LCM of 144391 and 144399?

Answer: LCM of 144391 and 144399 is 20849916009.

2. 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.

3. What are the Factors of 144399?

Answer: Factors of 144399 are 1, 3, 127, 379, 381, 1137, 48133, 144399. There are 8 integers that are factors of 144399. The greatest factor of 144399 is 144399.

4. How to Find the LCM of 144391 and 144399?

Answer:

Least Common Multiple of 144391 and 144399 = 20849916009

Step 1: Find the prime factorization of 144391

144391 = 13 x 29 x 383

Step 2: Find the prime factorization of 144399

144399 = 3 x 127 x 379

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

LCM = 20849916009 = 3 x 13 x 29 x 127 x 379 x 383

Step 4: Therefore, the least common multiple of 144391 and 144399 is 20849916009.