Least Common Multiple of 144391 and 144398

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

• Least Common Multiple of 144391 and 144398 by Prime method
• Least Common Multiple of 144391 and 144398 with GCF Formula

Least common multiple can be found by multiplying the highest exponent prime factors of 144391 and 144398. First we will calculate the prime factors of 144391 and 144398.

Prime Factorization of 144391

Prime factors of 144391 are 13, 29,383. Prime factorization of 144391 in exponential form is:

144391 = 13¹×29¹×383¹

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 144391 and 144398.

LCM(144391,144398) = 2¹×13¹×17¹×29¹×31¹×137¹×383¹
LCM(144391,144398) = 20849771618

Factors of 144391

List of positive integer factors of 144391 that divides 144391 without a remainder.

1, 13, 29, 377, 383, 4979, 11107, 144391

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 144391 and 144398, than apply into the LCM equation.

GCF(144391,144398) = 1
LCM(144391,144398) = ( 144391 × 144398) / 1
LCM(144391,144398) = 20849771618 / 1
LCM(144391,144398) = 20849771618

(i) The LCM of 144398 and 144391 is associative

LCM of 144391 and 144398 = LCM of 144398 and 144391

1. What is the LCM of 144391 and 144398?

Answer: LCM of 144391 and 144398 is 20849771618.

2. What are the Factors of 144391?

Answer: Factors of 144391 are 1, 13, 29, 377, 383, 4979, 11107, 144391. There are 8 integers that are factors of 144391. The greatest factor of 144391 is 144391.

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 144391 and 144398?

Answer:

Least Common Multiple of 144391 and 144398 = 20849771618

Step 1: Find the prime factorization of 144391

144391 = 13 x 29 x 383

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 = 20849771618 = 2 x 13 x 17 x 29 x 31 x 137 x 383

Step 4: Therefore, the least common multiple of 144391 and 144398 is 20849771618.