Least Common Multiple of 144383 and 144390

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

• Least Common Multiple of 144383 and 144390 by Prime method
• Least Common Multiple of 144383 and 144390 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144383 and 144390. First we will calculate the prime factors of 144383 and 144390.

Prime Factorization of 144383

Prime factors of 144383 are 144383. Prime factorization of 144383 in exponential form is:

144383 = 144383¹

Prime Factorization of 144390

Prime factors of 144390 are 2, 3, 5,4813. Prime factorization of 144390 in exponential form is:

144390 = 2¹×3¹×5¹×4813¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144383 and 144390.

LCM(144383,144390) = 2¹×3¹×5¹×4813¹×144383¹
LCM(144383,144390) = 20847461370

Factors of 144383

List of positive integer factors of 144383 that divides 144383 without a remainder.

1, 144383

Factors of 144390

List of positive integer factors of 144390 that divides 144390 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 4813, 9626, 14439, 24065, 28878, 48130, 72195, 144390

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144383 and 144390, than apply into the LCM equation.

GCF(144383,144390) = 1
LCM(144383,144390) = ( 144383 × 144390) / 1
LCM(144383,144390) = 20847461370 / 1
LCM(144383,144390) = 20847461370

(i) The LCM of 144390 and 144383 is associative

LCM of 144383 and 144390 = LCM of 144390 and 144383

1. What is the LCM of 144383 and 144390?

Answer: LCM of 144383 and 144390 is 20847461370.

2. What are the Factors of 144383?

Answer: Factors of 144383 are 1, 144383. There are 2 integers that are factors of 144383. The greatest factor of 144383 is 144383.

3. What are the Factors of 144390?

Answer: Factors of 144390 are 1, 2, 3, 5, 6, 10, 15, 30, 4813, 9626, 14439, 24065, 28878, 48130, 72195, 144390. There are 16 integers that are factors of 144390. The greatest factor of 144390 is 144390.

4. How to Find the LCM of 144383 and 144390?

Answer:

Least Common Multiple of 144383 and 144390 = 20847461370

Step 1: Find the prime factorization of 144383

144383 = 144383

Step 2: Find the prime factorization of 144390

144390 = 2 x 3 x 5 x 4813

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

LCM = 20847461370 = 2 x 3 x 5 x 4813 x 144383

Step 4: Therefore, the least common multiple of 144383 and 144390 is 20847461370.