Least Common Multiple of 144385 and 144390

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

• Least Common Multiple of 144385 and 144390 by Prime method
• Least Common Multiple of 144385 and 144390 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144385 and 144390. First we will calculate the prime factors of 144385 and 144390.

Prime Factorization of 144385

Prime factors of 144385 are 5, 67,431. Prime factorization of 144385 in exponential form is:

144385 = 5¹×67¹×431¹

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 144385 and 144390.

LCM(144385,144390) = 2¹×3¹×5¹×67¹×431¹×4813¹
LCM(144385,144390) = 4169550030

Factors of 144385

List of positive integer factors of 144385 that divides 144385 without a remainder.

1, 5, 67, 335, 431, 2155, 28877, 144385

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 144385 and 144390, than apply into the LCM equation.

GCF(144385,144390) = 5
LCM(144385,144390) = ( 144385 × 144390) / 5
LCM(144385,144390) = 20847750150 / 5
LCM(144385,144390) = 4169550030

(i) The LCM of 144390 and 144385 is associative

LCM of 144385 and 144390 = LCM of 144390 and 144385

1. What is the LCM of 144385 and 144390?

Answer: LCM of 144385 and 144390 is 4169550030.

2. What are the Factors of 144385?

Answer: Factors of 144385 are 1, 5, 67, 335, 431, 2155, 28877, 144385. There are 8 integers that are factors of 144385. The greatest factor of 144385 is 144385.

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 144385 and 144390?

Answer:

Least Common Multiple of 144385 and 144390 = 4169550030

Step 1: Find the prime factorization of 144385

144385 = 5 x 67 x 431

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 = 4169550030 = 2 x 3 x 5 x 67 x 431 x 4813

Step 4: Therefore, the least common multiple of 144385 and 144390 is 4169550030.