Least Common Multiple of 144392 and 144398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 144392 and 144398 the smallest integer that is 10424958008 that is divisible by both numbers.

Least Common Multiple (LCM) of 144392 and 144398 is 10424958008.

LCM(144392,144398) = 10424958008

LCM of 144392 and 144398

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

LCM of:
and

Least Common Multiple of 144392 and 144398

LCM of 144392 and 144398 is 10424958008

Least common multiple can be found by multiplying the highest exponent prime factors of 144392 and 144398. First we will calculate the prime factors of 144392 and 144398.

Prime Factorization of 144392


2 144392
2 72196
2 36098
18049 18049
1

Prime factors of 144392 are 2,18049. Prime factorization of 144392 in exponential form is:

144392 = 23×180491

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

Now multiplying the highest exponent prime factors to calculate the LCM of 144392 and 144398.

LCM(144392,144398) = 23×171×311×1371×180491
LCM(144392,144398) = 10424958008

Factors of 144392

List of positive integer factors of 144392 that divides 144392 without a remainder.

1, 2, 4, 8, 18049, 36098, 72196, 144392

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

Least Common Multiple of 144392 and 144398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 144392 and 144398, than apply into the LCM equation.

GCF(144392,144398) = 2
LCM(144392,144398) = ( 144392 × 144398) / 2
LCM(144392,144398) = 20849916016 / 2
LCM(144392,144398) = 10424958008

Properties of LCM 144392 and 144398

(i) The LCM of 144398 and 144392 is associative

LCM of 144392 and 144398 = LCM of 144398 and 144392

Related Least Common Multiples of 144392

Related Least Common Multiples of 144398

Frequently Asked Questions on LCM of 144392 and 144398

1. What is the LCM of 144392 and 144398?

Answer: LCM of 144392 and 144398 is 10424958008.

2. What are the Factors of 144392?

Answer: Factors of 144392 are 1, 2, 4, 8, 18049, 36098, 72196, 144392. There are 8 integers that are factors of 144392. The greatest factor of 144392 is 144392.

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 144392 and 144398?

Answer:

Least Common Multiple of 144392 and 144398 = 10424958008

Step 1: Find the prime factorization of 144392

144392 = 2 x 2 x 2 x 18049

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 = 10424958008 = 2 x 2 x 2 x 17 x 31 x 137 x 18049

Step 4: Therefore, the least common multiple of 144392 and 144398 is 10424958008.