Least Common Multiple of 144397 and 144405

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

• Least Common Multiple of 144397 and 144405 by Prime method
• Least Common Multiple of 144397 and 144405 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144397 and 144405. First we will calculate the prime factors of 144397 and 144405.

Prime Factorization of 144397

Prime factors of 144397 are 11,13127. Prime factorization of 144397 in exponential form is:

144397 = 11¹×13127¹

Prime Factorization of 144405

Prime factors of 144405 are 3, 5,3209. Prime factorization of 144405 in exponential form is:

144405 = 3²×5¹×3209¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144397 and 144405.

LCM(144397,144405) = 3²×5¹×11¹×3209¹×13127¹
LCM(144397,144405) = 20851648785

Factors of 144397

List of positive integer factors of 144397 that divides 144397 without a remainder.

1, 11, 13127, 144397

Factors of 144405

List of positive integer factors of 144405 that divides 144405 without a remainder.

1, 3, 5, 9, 15, 45, 3209, 9627, 16045, 28881, 48135, 144405

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144397 and 144405, than apply into the LCM equation.

GCF(144397,144405) = 1
LCM(144397,144405) = ( 144397 × 144405) / 1
LCM(144397,144405) = 20851648785 / 1
LCM(144397,144405) = 20851648785

(i) The LCM of 144405 and 144397 is associative

LCM of 144397 and 144405 = LCM of 144405 and 144397

1. What is the LCM of 144397 and 144405?

Answer: LCM of 144397 and 144405 is 20851648785.

2. What are the Factors of 144397?

Answer: Factors of 144397 are 1, 11, 13127, 144397. There are 4 integers that are factors of 144397. The greatest factor of 144397 is 144397.

3. What are the Factors of 144405?

Answer: Factors of 144405 are 1, 3, 5, 9, 15, 45, 3209, 9627, 16045, 28881, 48135, 144405. There are 12 integers that are factors of 144405. The greatest factor of 144405 is 144405.

4. How to Find the LCM of 144397 and 144405?

Answer:

Least Common Multiple of 144397 and 144405 = 20851648785

Step 1: Find the prime factorization of 144397

144397 = 11 x 13127

Step 2: Find the prime factorization of 144405

144405 = 3 x 3 x 5 x 3209

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

LCM = 20851648785 = 3 x 3 x 5 x 11 x 3209 x 13127

Step 4: Therefore, the least common multiple of 144397 and 144405 is 20851648785.