Least Common Multiple of 144398 and 144404

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144398 and 144404 the smallest integer that is 10425824396 that is divisible by both numbers.

Least Common Multiple (LCM) of 144398 and 144404 is 10425824396.

LCM(144398,144404) = 10425824396

LCM of 144398 and 144404

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

LCM of:
and

Least Common Multiple of 144398 and 144404

LCM of 144398 and 144404 is 10425824396

Least common multiple can be found by multiplying the highest exponent prime factors of 144398 and 144404. First we will calculate the prime factors of 144398 and 144404.

Prime Factorization of 144398


2 144398
17 72199
31 4247
137 137
1

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 144404


2 144404
2 72202
13 36101
2777 2777
1

Prime factors of 144404 are 2, 13,2777. Prime factorization of 144404 in exponential form is:

144404 = 22×131×27771

Now multiplying the highest exponent prime factors to calculate the LCM of 144398 and 144404.

LCM(144398,144404) = 22×131×171×311×1371×27771
LCM(144398,144404) = 10425824396

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 144404

List of positive integer factors of 144404 that divides 144404 without a remainder.

1, 2, 4, 13, 26, 52, 2777, 5554, 11108, 36101, 72202, 144404

Least Common Multiple of 144398 and 144404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144398 and 144404, than apply into the LCM equation.

GCF(144398,144404) = 2
LCM(144398,144404) = ( 144398 × 144404) / 2
LCM(144398,144404) = 20851648792 / 2
LCM(144398,144404) = 10425824396

Properties of LCM 144398 and 144404

(i) The LCM of 144404 and 144398 is associative

LCM of 144398 and 144404 = LCM of 144404 and 144398

Related Least Common Multiples of 144398

Related Least Common Multiples of 144404

Frequently Asked Questions on LCM of 144398 and 144404

1. What is the LCM of 144398 and 144404?

Answer: LCM of 144398 and 144404 is 10425824396.

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 144404?

Answer: Factors of 144404 are 1, 2, 4, 13, 26, 52, 2777, 5554, 11108, 36101, 72202, 144404. There are 12 integers that are factors of 144404. The greatest factor of 144404 is 144404.

4. How to Find the LCM of 144398 and 144404?

Answer:

Least Common Multiple of 144398 and 144404 = 10425824396

Step 1: Find the prime factorization of 144398

144398 = 2 x 17 x 31 x 137

Step 2: Find the prime factorization of 144404

144404 = 2 x 2 x 13 x 2777

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

LCM = 10425824396 = 2 x 2 x 13 x 17 x 31 x 137 x 2777

Step 4: Therefore, the least common multiple of 144398 and 144404 is 10425824396.