Least Common Multiple of 144395 and 144398

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

• Least Common Multiple of 144395 and 144398 by Prime method
• Least Common Multiple of 144395 and 144398 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144395 and 144398. First we will calculate the prime factors of 144395 and 144398.

Prime Factorization of 144395

Prime factors of 144395 are 5,28879. Prime factorization of 144395 in exponential form is:

144395 = 5¹×28879¹

Prime Factorization of 144398

Prime factors of 144398 are 2, 17, 31,137. Prime factorization of 144398 in exponential form is:

144398 = 2¹×17¹×31¹×137¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144395 and 144398.

LCM(144395,144398) = 2¹×5¹×17¹×31¹×137¹×28879¹
LCM(144395,144398) = 20850349210

Factors of 144395

List of positive integer factors of 144395 that divides 144395 without a remainder.

1, 5, 28879, 144395

Factors of 144398

List of positive integer factors of 144398 that divides 144398 without a remainder.

1, 2, 17, 31, 34, 62, 137, 274, 527, 1054, 2329, 4247, 4658, 8494, 72199, 144398

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144395 and 144398, than apply into the LCM equation.

GCF(144395,144398) = 1
LCM(144395,144398) = ( 144395 × 144398) / 1
LCM(144395,144398) = 20850349210 / 1
LCM(144395,144398) = 20850349210

(i) The LCM of 144398 and 144395 is associative

LCM of 144395 and 144398 = LCM of 144398 and 144395

1. What is the LCM of 144395 and 144398?

Answer: LCM of 144395 and 144398 is 20850349210.

2. What are the Factors of 144395?

Answer: Factors of 144395 are 1, 5, 28879, 144395. There are 4 integers that are factors of 144395. The greatest factor of 144395 is 144395.

3. What are the Factors of 144398?

Answer: Factors of 144398 are 1, 2, 17, 31, 34, 62, 137, 274, 527, 1054, 2329, 4247, 4658, 8494, 72199, 144398. There are 16 integers that are factors of 144398. The greatest factor of 144398 is 144398.

4. How to Find the LCM of 144395 and 144398?

Answer:

Least Common Multiple of 144395 and 144398 = 20850349210

Step 1: Find the prime factorization of 144395

144395 = 5 x 28879

Step 2: Find the prime factorization of 144398

144398 = 2 x 17 x 31 x 137

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

LCM = 20850349210 = 2 x 5 x 17 x 31 x 137 x 28879

Step 4: Therefore, the least common multiple of 144395 and 144398 is 20850349210.