Least Common Multiple of 15388 and 15394

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15388 and 15394 the smallest integer that is 118441436 that is divisible by both numbers.

Least Common Multiple (LCM) of 15388 and 15394 is 118441436.

LCM(15388,15394) = 118441436

LCM of 15388 and 15394

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

LCM of:
and

Least Common Multiple of 15388 and 15394

LCM of 15388 and 15394 is 118441436

Least common multiple can be found by multiplying the highest exponent prime factors of 15388 and 15394. First we will calculate the prime factors of 15388 and 15394.

Prime Factorization of 15388


2 15388
2 7694
3847 3847
1

Prime factors of 15388 are 2,3847. Prime factorization of 15388 in exponential form is:

15388 = 22×38471

Prime Factorization of 15394


2 15394
43 7697
179 179
1

Prime factors of 15394 are 2, 43,179. Prime factorization of 15394 in exponential form is:

15394 = 21×431×1791

Now multiplying the highest exponent prime factors to calculate the LCM of 15388 and 15394.

LCM(15388,15394) = 22×431×1791×38471
LCM(15388,15394) = 118441436

Factors of 15388

List of positive integer factors of 15388 that divides 15388 without a remainder.

1, 2, 4, 3847, 7694, 15388

Factors of 15394

List of positive integer factors of 15394 that divides 15394 without a remainder.

1, 2, 43, 86, 179, 358, 7697, 15394

Least Common Multiple of 15388 and 15394 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15388 and 15394, than apply into the LCM equation.

GCF(15388,15394) = 2
LCM(15388,15394) = ( 15388 × 15394) / 2
LCM(15388,15394) = 236882872 / 2
LCM(15388,15394) = 118441436

Properties of LCM 15388 and 15394

(i) The LCM of 15394 and 15388 is associative

LCM of 15388 and 15394 = LCM of 15394 and 15388

Related Least Common Multiples of 15388

Related Least Common Multiples of 15394

Frequently Asked Questions on LCM of 15388 and 15394

1. What is the LCM of 15388 and 15394?

Answer: LCM of 15388 and 15394 is 118441436.

2. What are the Factors of 15388?

Answer: Factors of 15388 are 1, 2, 4, 3847, 7694, 15388. There are 6 integers that are factors of 15388. The greatest factor of 15388 is 15388.

3. What are the Factors of 15394?

Answer: Factors of 15394 are 1, 2, 43, 86, 179, 358, 7697, 15394. There are 8 integers that are factors of 15394. The greatest factor of 15394 is 15394.

4. How to Find the LCM of 15388 and 15394?

Answer:

Least Common Multiple of 15388 and 15394 = 118441436

Step 1: Find the prime factorization of 15388

15388 = 2 x 2 x 3847

Step 2: Find the prime factorization of 15394

15394 = 2 x 43 x 179

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

LCM = 118441436 = 2 x 2 x 43 x 179 x 3847

Step 4: Therefore, the least common multiple of 15388 and 15394 is 118441436.