Least Common Multiple of 144380 and 144385

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

• Least Common Multiple of 144380 and 144385 by Prime method
• Least Common Multiple of 144380 and 144385 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144380 and 144385. First we will calculate the prime factors of 144380 and 144385.

Prime Factorization of 144380

Prime factors of 144380 are 2, 5,7219. Prime factorization of 144380 in exponential form is:

144380 = 2²×5¹×7219¹

Prime Factorization of 144385

Prime factors of 144385 are 5, 67,431. Prime factorization of 144385 in exponential form is:

144385 = 5¹×67¹×431¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144380 and 144385.

LCM(144380,144385) = 2²×5¹×67¹×431¹×7219¹
LCM(144380,144385) = 4169261260

Factors of 144380

List of positive integer factors of 144380 that divides 144380 without a remainder.

1, 2, 4, 5, 10, 20, 7219, 14438, 28876, 36095, 72190, 144380

Factors of 144385

List of positive integer factors of 144385 that divides 144385 without a remainder.

1, 5, 67, 335, 431, 2155, 28877, 144385

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144380 and 144385, than apply into the LCM equation.

GCF(144380,144385) = 5
LCM(144380,144385) = ( 144380 × 144385) / 5
LCM(144380,144385) = 20846306300 / 5
LCM(144380,144385) = 4169261260

(i) The LCM of 144385 and 144380 is associative

LCM of 144380 and 144385 = LCM of 144385 and 144380

1. What is the LCM of 144380 and 144385?

Answer: LCM of 144380 and 144385 is 4169261260.

2. What are the Factors of 144380?

Answer: Factors of 144380 are 1, 2, 4, 5, 10, 20, 7219, 14438, 28876, 36095, 72190, 144380. There are 12 integers that are factors of 144380. The greatest factor of 144380 is 144380.

3. What are the Factors of 144385?

Answer: Factors of 144385 are 1, 5, 67, 335, 431, 2155, 28877, 144385. There are 8 integers that are factors of 144385. The greatest factor of 144385 is 144385.

4. How to Find the LCM of 144380 and 144385?

Answer:

Least Common Multiple of 144380 and 144385 = 4169261260

Step 1: Find the prime factorization of 144380

144380 = 2 x 2 x 5 x 7219

Step 2: Find the prime factorization of 144385

144385 = 5 x 67 x 431

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

LCM = 4169261260 = 2 x 2 x 5 x 67 x 431 x 7219

Step 4: Therefore, the least common multiple of 144380 and 144385 is 4169261260.