Least Common Multiple of 144379 and 144382

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

• Least Common Multiple of 144379 and 144382 by Prime method
• Least Common Multiple of 144379 and 144382 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144379 and 144382. First we will calculate the prime factors of 144379 and 144382.

Prime Factorization of 144379

Prime factors of 144379 are 144379. Prime factorization of 144379 in exponential form is:

144379 = 144379¹

Prime Factorization of 144382

Prime factors of 144382 are 2, 7,10313. Prime factorization of 144382 in exponential form is:

144382 = 2¹×7¹×10313¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144379 and 144382.

LCM(144379,144382) = 2¹×7¹×10313¹×144379¹
LCM(144379,144382) = 20845728778

Factors of 144379

List of positive integer factors of 144379 that divides 144379 without a remainder.

1, 144379

Factors of 144382

List of positive integer factors of 144382 that divides 144382 without a remainder.

1, 2, 7, 14, 10313, 20626, 72191, 144382

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144379 and 144382, than apply into the LCM equation.

GCF(144379,144382) = 1
LCM(144379,144382) = ( 144379 × 144382) / 1
LCM(144379,144382) = 20845728778 / 1
LCM(144379,144382) = 20845728778

(i) The LCM of 144382 and 144379 is associative

LCM of 144379 and 144382 = LCM of 144382 and 144379

1. What is the LCM of 144379 and 144382?

Answer: LCM of 144379 and 144382 is 20845728778.

2. What are the Factors of 144379?

Answer: Factors of 144379 are 1, 144379. There are 2 integers that are factors of 144379. The greatest factor of 144379 is 144379.

3. What are the Factors of 144382?

Answer: Factors of 144382 are 1, 2, 7, 14, 10313, 20626, 72191, 144382. There are 8 integers that are factors of 144382. The greatest factor of 144382 is 144382.

4. How to Find the LCM of 144379 and 144382?

Answer:

Least Common Multiple of 144379 and 144382 = 20845728778

Step 1: Find the prime factorization of 144379

144379 = 144379

Step 2: Find the prime factorization of 144382

144382 = 2 x 7 x 10313

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

LCM = 20845728778 = 2 x 7 x 10313 x 144379

Step 4: Therefore, the least common multiple of 144379 and 144382 is 20845728778.