Least Common Multiple of 144399 and 144403

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

• Least Common Multiple of 144399 and 144403 by Prime method
• Least Common Multiple of 144399 and 144403 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144399 and 144403. First we will calculate the prime factors of 144399 and 144403.

Prime Factorization of 144399

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

144399 = 3¹×127¹×379¹

Prime Factorization of 144403

Prime factors of 144403 are 7,421. Prime factorization of 144403 in exponential form is:

144403 = 7³×421¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144399 and 144403.

LCM(144399,144403) = 3¹×7³×127¹×379¹×421¹
LCM(144399,144403) = 20851648797

Factors of 144399

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

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

Factors of 144403

List of positive integer factors of 144403 that divides 144403 without a remainder.

1, 7, 49, 343, 421, 2947, 20629, 144403

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144399 and 144403, than apply into the LCM equation.

GCF(144399,144403) = 1
LCM(144399,144403) = ( 144399 × 144403) / 1
LCM(144399,144403) = 20851648797 / 1
LCM(144399,144403) = 20851648797

(i) The LCM of 144403 and 144399 is associative

LCM of 144399 and 144403 = LCM of 144403 and 144399

1. What is the LCM of 144399 and 144403?

Answer: LCM of 144399 and 144403 is 20851648797.

2. 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.

3. What are the Factors of 144403?

Answer: Factors of 144403 are 1, 7, 49, 343, 421, 2947, 20629, 144403. There are 8 integers that are factors of 144403. The greatest factor of 144403 is 144403.

4. How to Find the LCM of 144399 and 144403?

Answer:

Least Common Multiple of 144399 and 144403 = 20851648797

Step 1: Find the prime factorization of 144399

144399 = 3 x 127 x 379

Step 2: Find the prime factorization of 144403

144403 = 7 x 7 x 7 x 421

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

LCM = 20851648797 = 3 x 7 x 7 x 7 x 127 x 379 x 421

Step 4: Therefore, the least common multiple of 144399 and 144403 is 20851648797.