Least Common Multiple of 144394 and 144401

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

• Least Common Multiple of 144394 and 144401 by Prime method
• Least Common Multiple of 144394 and 144401 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144394 and 144401. First we will calculate the prime factors of 144394 and 144401.

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

Prime Factorization of 144401

Prime factors of 144401 are 197,733. Prime factorization of 144401 in exponential form is:

144401 = 197¹×733¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144394 and 144401.

LCM(144394,144401) = 2¹×23¹×43¹×73¹×197¹×733¹
LCM(144394,144401) = 20850637994

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

Factors of 144401

List of positive integer factors of 144401 that divides 144401 without a remainder.

1, 197, 733, 144401

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144394 and 144401, than apply into the LCM equation.

GCF(144394,144401) = 1
LCM(144394,144401) = ( 144394 × 144401) / 1
LCM(144394,144401) = 20850637994 / 1
LCM(144394,144401) = 20850637994

(i) The LCM of 144401 and 144394 is associative

LCM of 144394 and 144401 = LCM of 144401 and 144394

1. What is the LCM of 144394 and 144401?

Answer: LCM of 144394 and 144401 is 20850637994.

2. 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.

3. What are the Factors of 144401?

Answer: Factors of 144401 are 1, 197, 733, 144401. There are 4 integers that are factors of 144401. The greatest factor of 144401 is 144401.

4. How to Find the LCM of 144394 and 144401?

Answer:

Least Common Multiple of 144394 and 144401 = 20850637994

Step 1: Find the prime factorization of 144394

144394 = 2 x 23 x 43 x 73

Step 2: Find the prime factorization of 144401

144401 = 197 x 733

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

LCM = 20850637994 = 2 x 23 x 43 x 73 x 197 x 733

Step 4: Therefore, the least common multiple of 144394 and 144401 is 20850637994.