Least Common Multiple of 144350 and 144355

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

• Least Common Multiple of 144350 and 144355 by Prime method
• Least Common Multiple of 144350 and 144355 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144350 and 144355. First we will calculate the prime factors of 144350 and 144355.

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 144355

Prime factors of 144355 are 5,28871. Prime factorization of 144355 in exponential form is:

144355 = 5¹×28871¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144350 and 144355.

LCM(144350,144355) = 2¹×5²×2887¹×28871¹
LCM(144350,144355) = 4167528850

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 144355

List of positive integer factors of 144355 that divides 144355 without a remainder.

1, 5, 28871, 144355

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144350 and 144355, than apply into the LCM equation.

GCF(144350,144355) = 5
LCM(144350,144355) = ( 144350 × 144355) / 5
LCM(144350,144355) = 20837644250 / 5
LCM(144350,144355) = 4167528850

(i) The LCM of 144355 and 144350 is associative

LCM of 144350 and 144355 = LCM of 144355 and 144350

1. What is the LCM of 144350 and 144355?

Answer: LCM of 144350 and 144355 is 4167528850.

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 144355?

Answer: Factors of 144355 are 1, 5, 28871, 144355. There are 4 integers that are factors of 144355. The greatest factor of 144355 is 144355.

4. How to Find the LCM of 144350 and 144355?

Answer:

Least Common Multiple of 144350 and 144355 = 4167528850

Step 1: Find the prime factorization of 144350

144350 = 2 x 5 x 5 x 2887

Step 2: Find the prime factorization of 144355

144355 = 5 x 28871

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

LCM = 4167528850 = 2 x 5 x 5 x 2887 x 28871

Step 4: Therefore, the least common multiple of 144350 and 144355 is 4167528850.