Least Common Multiple of 144399 and 144404

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

• Least Common Multiple of 144399 and 144404 by Prime method
• Least Common Multiple of 144399 and 144404 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144399 and 144404. First we will calculate the prime factors of 144399 and 144404.

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 144404

Prime factors of 144404 are 2, 13,2777. Prime factorization of 144404 in exponential form is:

144404 = 2²×13¹×2777¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144399 and 144404.

LCM(144399,144404) = 2²×3¹×13¹×127¹×379¹×2777¹
LCM(144399,144404) = 20851793196

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 144404

List of positive integer factors of 144404 that divides 144404 without a remainder.

1, 2, 4, 13, 26, 52, 2777, 5554, 11108, 36101, 72202, 144404

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144399 and 144404, than apply into the LCM equation.

GCF(144399,144404) = 1
LCM(144399,144404) = ( 144399 × 144404) / 1
LCM(144399,144404) = 20851793196 / 1
LCM(144399,144404) = 20851793196

(i) The LCM of 144404 and 144399 is associative

LCM of 144399 and 144404 = LCM of 144404 and 144399

1. What is the LCM of 144399 and 144404?

Answer: LCM of 144399 and 144404 is 20851793196.

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 144404?

Answer: Factors of 144404 are 1, 2, 4, 13, 26, 52, 2777, 5554, 11108, 36101, 72202, 144404. There are 12 integers that are factors of 144404. The greatest factor of 144404 is 144404.

4. How to Find the LCM of 144399 and 144404?

Answer:

Least Common Multiple of 144399 and 144404 = 20851793196

Step 1: Find the prime factorization of 144399

144399 = 3 x 127 x 379

Step 2: Find the prime factorization of 144404

144404 = 2 x 2 x 13 x 2777

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

LCM = 20851793196 = 2 x 2 x 3 x 13 x 127 x 379 x 2777

Step 4: Therefore, the least common multiple of 144399 and 144404 is 20851793196.