Least Common Multiple of 144389 and 144394

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

• Least Common Multiple of 144389 and 144394 by Prime method
• Least Common Multiple of 144389 and 144394 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144389 and 144394. First we will calculate the prime factors of 144389 and 144394.

Prime Factorization of 144389

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

144389 = 7¹×20627¹

Prime Factorization of 144394

Prime factors of 144394 are 2, 23, 43,73. Prime factorization of 144394 in exponential form is:

144394 = 2¹×23¹×43¹×73¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144389 and 144394.

LCM(144389,144394) = 2¹×7¹×23¹×43¹×73¹×20627¹
LCM(144389,144394) = 20848905266

Factors of 144389

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

1, 7, 20627, 144389

Factors of 144394

List of positive integer factors of 144394 that divides 144394 without a remainder.

1, 2, 23, 43, 46, 73, 86, 146, 989, 1679, 1978, 3139, 3358, 6278, 72197, 144394

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144389 and 144394, than apply into the LCM equation.

GCF(144389,144394) = 1
LCM(144389,144394) = ( 144389 × 144394) / 1
LCM(144389,144394) = 20848905266 / 1
LCM(144389,144394) = 20848905266

(i) The LCM of 144394 and 144389 is associative

LCM of 144389 and 144394 = LCM of 144394 and 144389

1. What is the LCM of 144389 and 144394?

Answer: LCM of 144389 and 144394 is 20848905266.

2. 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.

3. What are the Factors of 144394?

Answer: Factors of 144394 are 1, 2, 23, 43, 46, 73, 86, 146, 989, 1679, 1978, 3139, 3358, 6278, 72197, 144394. There are 16 integers that are factors of 144394. The greatest factor of 144394 is 144394.

4. How to Find the LCM of 144389 and 144394?

Answer:

Least Common Multiple of 144389 and 144394 = 20848905266

Step 1: Find the prime factorization of 144389

144389 = 7 x 20627

Step 2: Find the prime factorization of 144394

144394 = 2 x 23 x 43 x 73

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

LCM = 20848905266 = 2 x 7 x 23 x 43 x 73 x 20627

Step 4: Therefore, the least common multiple of 144389 and 144394 is 20848905266.