Least Common Multiple of 144393 and 144398

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

• Least Common Multiple of 144393 and 144398 by Prime method
• Least Common Multiple of 144393 and 144398 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144393 and 144398. First we will calculate the prime factors of 144393 and 144398.

Prime Factorization of 144393

Prime factors of 144393 are 3,48131. Prime factorization of 144393 in exponential form is:

144393 = 3¹×48131¹

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 144393 and 144398.

LCM(144393,144398) = 2¹×3¹×17¹×31¹×137¹×48131¹
LCM(144393,144398) = 20850060414

Factors of 144393

List of positive integer factors of 144393 that divides 144393 without a remainder.

1, 3, 48131, 144393

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 144393 and 144398, than apply into the LCM equation.

GCF(144393,144398) = 1
LCM(144393,144398) = ( 144393 × 144398) / 1
LCM(144393,144398) = 20850060414 / 1
LCM(144393,144398) = 20850060414

(i) The LCM of 144398 and 144393 is associative

LCM of 144393 and 144398 = LCM of 144398 and 144393

1. What is the LCM of 144393 and 144398?

Answer: LCM of 144393 and 144398 is 20850060414.

2. What are the Factors of 144393?

Answer: Factors of 144393 are 1, 3, 48131, 144393. There are 4 integers that are factors of 144393. The greatest factor of 144393 is 144393.

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 144393 and 144398?

Answer:

Least Common Multiple of 144393 and 144398 = 20850060414

Step 1: Find the prime factorization of 144393

144393 = 3 x 48131

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 = 20850060414 = 2 x 3 x 17 x 31 x 137 x 48131

Step 4: Therefore, the least common multiple of 144393 and 144398 is 20850060414.