Least Common Multiple of 15384 and 15388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15384 and 15388 the smallest integer that is 59182248 that is divisible by both numbers.

Least Common Multiple (LCM) of 15384 and 15388 is 59182248.

LCM(15384,15388) = 59182248

LCM of 15384 and 15388

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

LCM of:
and

Least Common Multiple of 15384 and 15388

LCM of 15384 and 15388 is 59182248

Least common multiple can be found by multiplying the highest exponent prime factors of 15384 and 15388. First we will calculate the prime factors of 15384 and 15388.

Prime Factorization of 15384


2 15384
2 7692
2 3846
3 1923
641 641
1

Prime factors of 15384 are 2, 3,641. Prime factorization of 15384 in exponential form is:

15384 = 23×31×6411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15384 and 15388.

LCM(15384,15388) = 23×31×6411×38471
LCM(15384,15388) = 59182248

Factors of 15384

List of positive integer factors of 15384 that divides 15384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 641, 1282, 1923, 2564, 3846, 5128, 7692, 15384

Factors of 15388

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

1, 2, 4, 3847, 7694, 15388

Least Common Multiple of 15384 and 15388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15384 and 15388, than apply into the LCM equation.

GCF(15384,15388) = 4
LCM(15384,15388) = ( 15384 × 15388) / 4
LCM(15384,15388) = 236728992 / 4
LCM(15384,15388) = 59182248

Properties of LCM 15384 and 15388

(i) The LCM of 15388 and 15384 is associative

LCM of 15384 and 15388 = LCM of 15388 and 15384

Related Least Common Multiples of 15384

Related Least Common Multiples of 15388

Frequently Asked Questions on LCM of 15384 and 15388

1. What is the LCM of 15384 and 15388?

Answer: LCM of 15384 and 15388 is 59182248.

2. What are the Factors of 15384?

Answer: Factors of 15384 are 1, 2, 3, 4, 6, 8, 12, 24, 641, 1282, 1923, 2564, 3846, 5128, 7692, 15384. There are 16 integers that are factors of 15384. The greatest factor of 15384 is 15384.

3. 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.

4. How to Find the LCM of 15384 and 15388?

Answer:

Least Common Multiple of 15384 and 15388 = 59182248

Step 1: Find the prime factorization of 15384

15384 = 2 x 2 x 2 x 3 x 641

Step 2: Find the prime factorization of 15388

15388 = 2 x 2 x 3847

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

LCM = 59182248 = 2 x 2 x 2 x 3 x 641 x 3847

Step 4: Therefore, the least common multiple of 15384 and 15388 is 59182248.