Least Common Multiple of 144390 and 144395

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

• Least Common Multiple of 144390 and 144395 by Prime method
• Least Common Multiple of 144390 and 144395 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144390 and 144395. First we will calculate the prime factors of 144390 and 144395.

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

Prime Factorization of 144395

Prime factors of 144395 are 5,28879. Prime factorization of 144395 in exponential form is:

144395 = 5¹×28879¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144390 and 144395.

LCM(144390,144395) = 2¹×3¹×5¹×4813¹×28879¹
LCM(144390,144395) = 4169838810

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

Factors of 144395

List of positive integer factors of 144395 that divides 144395 without a remainder.

1, 5, 28879, 144395

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144390 and 144395, than apply into the LCM equation.

GCF(144390,144395) = 5
LCM(144390,144395) = ( 144390 × 144395) / 5
LCM(144390,144395) = 20849194050 / 5
LCM(144390,144395) = 4169838810

(i) The LCM of 144395 and 144390 is associative

LCM of 144390 and 144395 = LCM of 144395 and 144390

1. What is the LCM of 144390 and 144395?

Answer: LCM of 144390 and 144395 is 4169838810.

2. 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.

3. What are the Factors of 144395?

Answer: Factors of 144395 are 1, 5, 28879, 144395. There are 4 integers that are factors of 144395. The greatest factor of 144395 is 144395.

4. How to Find the LCM of 144390 and 144395?

Answer:

Least Common Multiple of 144390 and 144395 = 4169838810

Step 1: Find the prime factorization of 144390

144390 = 2 x 3 x 5 x 4813

Step 2: Find the prime factorization of 144395

144395 = 5 x 28879

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

LCM = 4169838810 = 2 x 3 x 5 x 4813 x 28879

Step 4: Therefore, the least common multiple of 144390 and 144395 is 4169838810.