Least Common Multiple of 15384 and 15391

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 15391 the smallest integer that is 236775144 that is divisible by both numbers.

Least Common Multiple (LCM) of 15384 and 15391 is 236775144.

LCM(15384,15391) = 236775144

LCM of 15384 and 15391

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

LCM of:
and

Least Common Multiple of 15384 and 15391

LCM of 15384 and 15391 is 236775144

Least common multiple can be found by multiplying the highest exponent prime factors of 15384 and 15391. First we will calculate the prime factors of 15384 and 15391.

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 15391


15391 15391
1

Prime factors of 15391 are 15391. Prime factorization of 15391 in exponential form is:

15391 = 153911

Now multiplying the highest exponent prime factors to calculate the LCM of 15384 and 15391.

LCM(15384,15391) = 23×31×6411×153911
LCM(15384,15391) = 236775144

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 15391

List of positive integer factors of 15391 that divides 15391 without a remainder.

1, 15391

Least Common Multiple of 15384 and 15391 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 15391, than apply into the LCM equation.

GCF(15384,15391) = 1
LCM(15384,15391) = ( 15384 × 15391) / 1
LCM(15384,15391) = 236775144 / 1
LCM(15384,15391) = 236775144

Properties of LCM 15384 and 15391

(i) The LCM of 15391 and 15384 is associative

LCM of 15384 and 15391 = LCM of 15391 and 15384

Related Least Common Multiples of 15384

Related Least Common Multiples of 15391

Frequently Asked Questions on LCM of 15384 and 15391

1. What is the LCM of 15384 and 15391?

Answer: LCM of 15384 and 15391 is 236775144.

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 15391?

Answer: Factors of 15391 are 1, 15391. There are 2 integers that are factors of 15391. The greatest factor of 15391 is 15391.

4. How to Find the LCM of 15384 and 15391?

Answer:

Least Common Multiple of 15384 and 15391 = 236775144

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 15391

15391 = 15391

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

LCM = 236775144 = 2 x 2 x 2 x 3 x 641 x 15391

Step 4: Therefore, the least common multiple of 15384 and 15391 is 236775144.