Least Common Multiple of 144398 and 144403

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

• Least Common Multiple of 144398 and 144403 by Prime method
• Least Common Multiple of 144398 and 144403 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144398 and 144403. First we will calculate the prime factors of 144398 and 144403.

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

Prime Factorization of 144403

Prime factors of 144403 are 7,421. Prime factorization of 144403 in exponential form is:

144403 = 7³×421¹

Now multiplying the highest exponent prime factors to calculate the LCM of 144398 and 144403.

LCM(144398,144403) = 2¹×7³×17¹×31¹×137¹×421¹
LCM(144398,144403) = 20851504394

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

Factors of 144403

List of positive integer factors of 144403 that divides 144403 without a remainder.

1, 7, 49, 343, 421, 2947, 20629, 144403

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144398 and 144403, than apply into the LCM equation.

GCF(144398,144403) = 1
LCM(144398,144403) = ( 144398 × 144403) / 1
LCM(144398,144403) = 20851504394 / 1
LCM(144398,144403) = 20851504394

(i) The LCM of 144403 and 144398 is associative

LCM of 144398 and 144403 = LCM of 144403 and 144398

1. What is the LCM of 144398 and 144403?

Answer: LCM of 144398 and 144403 is 20851504394.

2. 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.

3. What are the Factors of 144403?

Answer: Factors of 144403 are 1, 7, 49, 343, 421, 2947, 20629, 144403. There are 8 integers that are factors of 144403. The greatest factor of 144403 is 144403.

4. How to Find the LCM of 144398 and 144403?

Answer:

Least Common Multiple of 144398 and 144403 = 20851504394

Step 1: Find the prime factorization of 144398

144398 = 2 x 17 x 31 x 137

Step 2: Find the prime factorization of 144403

144403 = 7 x 7 x 7 x 421

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

LCM = 20851504394 = 2 x 7 x 7 x 7 x 17 x 31 x 137 x 421

Step 4: Therefore, the least common multiple of 144398 and 144403 is 20851504394.