Least Common Multiple of 144350 and 144351

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

• Least Common Multiple of 144350 and 144351 by Prime method
• Least Common Multiple of 144350 and 144351 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144350 and 144351. First we will calculate the prime factors of 144350 and 144351.

Prime Factorization of 144350

Prime factors of 144350 are 2, 5,2887. Prime factorization of 144350 in exponential form is:

144350 = 2¹×5²×2887¹

Prime Factorization of 144351

Prime factors of 144351 are 3, 43,373. Prime factorization of 144351 in exponential form is:

144351 = 3²×43¹×373¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144350 and 144351.

LCM(144350,144351) = 2¹×3²×5²×43¹×373¹×2887¹
LCM(144350,144351) = 20837066850

Factors of 144350

List of positive integer factors of 144350 that divides 144350 without a remainder.

1, 2, 5, 10, 25, 50, 2887, 5774, 14435, 28870, 72175, 144350

Factors of 144351

List of positive integer factors of 144351 that divides 144351 without a remainder.

1, 3, 9, 43, 129, 373, 387, 1119, 3357, 16039, 48117, 144351

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144350 and 144351, than apply into the LCM equation.

GCF(144350,144351) = 1
LCM(144350,144351) = ( 144350 × 144351) / 1
LCM(144350,144351) = 20837066850 / 1
LCM(144350,144351) = 20837066850

(i) The LCM of 144351 and 144350 is associative

LCM of 144350 and 144351 = LCM of 144351 and 144350

1. What is the LCM of 144350 and 144351?

Answer: LCM of 144350 and 144351 is 20837066850.

2. What are the Factors of 144350?

Answer: Factors of 144350 are 1, 2, 5, 10, 25, 50, 2887, 5774, 14435, 28870, 72175, 144350. There are 12 integers that are factors of 144350. The greatest factor of 144350 is 144350.

3. What are the Factors of 144351?

Answer: Factors of 144351 are 1, 3, 9, 43, 129, 373, 387, 1119, 3357, 16039, 48117, 144351. There are 12 integers that are factors of 144351. The greatest factor of 144351 is 144351.

4. How to Find the LCM of 144350 and 144351?

Answer:

Least Common Multiple of 144350 and 144351 = 20837066850

Step 1: Find the prime factorization of 144350

144350 = 2 x 5 x 5 x 2887

Step 2: Find the prime factorization of 144351

144351 = 3 x 3 x 43 x 373

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

LCM = 20837066850 = 2 x 3 x 3 x 5 x 5 x 43 x 373 x 2887

Step 4: Therefore, the least common multiple of 144350 and 144351 is 20837066850.