Least Common Multiple of 144390 and 144391

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

• Least Common Multiple of 144390 and 144391 by Prime method
• Least Common Multiple of 144390 and 144391 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144390 and 144391. First we will calculate the prime factors of 144390 and 144391.

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 144391

Prime factors of 144391 are 13, 29,383. Prime factorization of 144391 in exponential form is:

144391 = 13¹×29¹×383¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144390 and 144391.

LCM(144390,144391) = 2¹×3¹×5¹×13¹×29¹×383¹×4813¹
LCM(144390,144391) = 20848616490

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 144391

List of positive integer factors of 144391 that divides 144391 without a remainder.

1, 13, 29, 377, 383, 4979, 11107, 144391

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144390 and 144391, than apply into the LCM equation.

GCF(144390,144391) = 1
LCM(144390,144391) = ( 144390 × 144391) / 1
LCM(144390,144391) = 20848616490 / 1
LCM(144390,144391) = 20848616490

(i) The LCM of 144391 and 144390 is associative

LCM of 144390 and 144391 = LCM of 144391 and 144390

1. What is the LCM of 144390 and 144391?

Answer: LCM of 144390 and 144391 is 20848616490.

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 144391?

Answer: Factors of 144391 are 1, 13, 29, 377, 383, 4979, 11107, 144391. There are 8 integers that are factors of 144391. The greatest factor of 144391 is 144391.

4. How to Find the LCM of 144390 and 144391?

Answer:

Least Common Multiple of 144390 and 144391 = 20848616490

Step 1: Find the prime factorization of 144390

144390 = 2 x 3 x 5 x 4813

Step 2: Find the prime factorization of 144391

144391 = 13 x 29 x 383

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

LCM = 20848616490 = 2 x 3 x 5 x 13 x 29 x 383 x 4813

Step 4: Therefore, the least common multiple of 144390 and 144391 is 20848616490.