Least Common Multiple of 144385 and 144389

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

• Least Common Multiple of 144385 and 144389 by Prime method
• Least Common Multiple of 144385 and 144389 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144385 and 144389. First we will calculate the prime factors of 144385 and 144389.

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 144389

Prime factors of 144389 are 7,20627. Prime factorization of 144389 in exponential form is:

144389 = 7¹×20627¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144385 and 144389.

LCM(144385,144389) = 5¹×7¹×67¹×431¹×20627¹
LCM(144385,144389) = 20847605765

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 144389

List of positive integer factors of 144389 that divides 144389 without a remainder.

1, 7, 20627, 144389

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144385 and 144389, than apply into the LCM equation.

GCF(144385,144389) = 1
LCM(144385,144389) = ( 144385 × 144389) / 1
LCM(144385,144389) = 20847605765 / 1
LCM(144385,144389) = 20847605765

(i) The LCM of 144389 and 144385 is associative

LCM of 144385 and 144389 = LCM of 144389 and 144385

1. What is the LCM of 144385 and 144389?

Answer: LCM of 144385 and 144389 is 20847605765.

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 144389?

Answer: Factors of 144389 are 1, 7, 20627, 144389. There are 4 integers that are factors of 144389. The greatest factor of 144389 is 144389.

4. How to Find the LCM of 144385 and 144389?

Answer:

Least Common Multiple of 144385 and 144389 = 20847605765

Step 1: Find the prime factorization of 144385

144385 = 5 x 67 x 431

Step 2: Find the prime factorization of 144389

144389 = 7 x 20627

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

LCM = 20847605765 = 5 x 7 x 67 x 431 x 20627

Step 4: Therefore, the least common multiple of 144385 and 144389 is 20847605765.