Least Common Multiple of 144397 and 144404

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

• Least Common Multiple of 144397 and 144404 by Prime method
• Least Common Multiple of 144397 and 144404 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144397 and 144404. First we will calculate the prime factors of 144397 and 144404.

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 144404

Prime factors of 144404 are 2, 13,2777. Prime factorization of 144404 in exponential form is:

144404 = 2²×13¹×2777¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144397 and 144404.

LCM(144397,144404) = 2²×11¹×13¹×2777¹×13127¹
LCM(144397,144404) = 20851504388

Factors of 144397

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

1, 11, 13127, 144397

Factors of 144404

List of positive integer factors of 144404 that divides 144404 without a remainder.

1, 2, 4, 13, 26, 52, 2777, 5554, 11108, 36101, 72202, 144404

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144397 and 144404, than apply into the LCM equation.

GCF(144397,144404) = 1
LCM(144397,144404) = ( 144397 × 144404) / 1
LCM(144397,144404) = 20851504388 / 1
LCM(144397,144404) = 20851504388

(i) The LCM of 144404 and 144397 is associative

LCM of 144397 and 144404 = LCM of 144404 and 144397

1. What is the LCM of 144397 and 144404?

Answer: LCM of 144397 and 144404 is 20851504388.

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 144404?

Answer: Factors of 144404 are 1, 2, 4, 13, 26, 52, 2777, 5554, 11108, 36101, 72202, 144404. There are 12 integers that are factors of 144404. The greatest factor of 144404 is 144404.

4. How to Find the LCM of 144397 and 144404?

Answer:

Least Common Multiple of 144397 and 144404 = 20851504388

Step 1: Find the prime factorization of 144397

144397 = 11 x 13127

Step 2: Find the prime factorization of 144404

144404 = 2 x 2 x 13 x 2777

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

LCM = 20851504388 = 2 x 2 x 11 x 13 x 2777 x 13127

Step 4: Therefore, the least common multiple of 144397 and 144404 is 20851504388.