Least Common Multiple of 144385 and 144393

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

• Least Common Multiple of 144385 and 144393 by Prime method
• Least Common Multiple of 144385 and 144393 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144385 and 144393. First we will calculate the prime factors of 144385 and 144393.

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 144393

Prime factors of 144393 are 3,48131. Prime factorization of 144393 in exponential form is:

144393 = 3¹×48131¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144385 and 144393.

LCM(144385,144393) = 3¹×5¹×67¹×431¹×48131¹
LCM(144385,144393) = 20848183305

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 144393

List of positive integer factors of 144393 that divides 144393 without a remainder.

1, 3, 48131, 144393

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144385 and 144393, than apply into the LCM equation.

GCF(144385,144393) = 1
LCM(144385,144393) = ( 144385 × 144393) / 1
LCM(144385,144393) = 20848183305 / 1
LCM(144385,144393) = 20848183305

(i) The LCM of 144393 and 144385 is associative

LCM of 144385 and 144393 = LCM of 144393 and 144385

1. What is the LCM of 144385 and 144393?

Answer: LCM of 144385 and 144393 is 20848183305.

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 144393?

Answer: Factors of 144393 are 1, 3, 48131, 144393. There are 4 integers that are factors of 144393. The greatest factor of 144393 is 144393.

4. How to Find the LCM of 144385 and 144393?

Answer:

Least Common Multiple of 144385 and 144393 = 20848183305

Step 1: Find the prime factorization of 144385

144385 = 5 x 67 x 431

Step 2: Find the prime factorization of 144393

144393 = 3 x 48131

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

LCM = 20848183305 = 3 x 5 x 67 x 431 x 48131

Step 4: Therefore, the least common multiple of 144385 and 144393 is 20848183305.