Least Common Multiple of 15376 and 15384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15376 and 15384 the smallest integer that is 29568048 that is divisible by both numbers.

Least Common Multiple (LCM) of 15376 and 15384 is 29568048.

LCM(15376,15384) = 29568048

LCM of 15376 and 15384

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

LCM of:
and

Least Common Multiple of 15376 and 15384

LCM of 15376 and 15384 is 29568048

Least common multiple can be found by multiplying the highest exponent prime factors of 15376 and 15384. First we will calculate the prime factors of 15376 and 15384.

Prime Factorization of 15376


2 15376
2 7688
2 3844
2 1922
31 961
31 31
1

Prime factors of 15376 are 2,31. Prime factorization of 15376 in exponential form is:

15376 = 24×312

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15376 and 15384.

LCM(15376,15384) = 24×31×312×6411
LCM(15376,15384) = 29568048

Factors of 15376

List of positive integer factors of 15376 that divides 15376 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496, 961, 1922, 3844, 7688, 15376

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

Least Common Multiple of 15376 and 15384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15376 and 15384, than apply into the LCM equation.

GCF(15376,15384) = 8
LCM(15376,15384) = ( 15376 × 15384) / 8
LCM(15376,15384) = 236544384 / 8
LCM(15376,15384) = 29568048

Properties of LCM 15376 and 15384

(i) The LCM of 15384 and 15376 is associative

LCM of 15376 and 15384 = LCM of 15384 and 15376

Related Least Common Multiples of 15376

Related Least Common Multiples of 15384

Frequently Asked Questions on LCM of 15376 and 15384

1. What is the LCM of 15376 and 15384?

Answer: LCM of 15376 and 15384 is 29568048.

2. What are the Factors of 15376?

Answer: Factors of 15376 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496, 961, 1922, 3844, 7688, 15376. There are 15 integers that are factors of 15376. The greatest factor of 15376 is 15376.

3. 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.

4. How to Find the LCM of 15376 and 15384?

Answer:

Least Common Multiple of 15376 and 15384 = 29568048

Step 1: Find the prime factorization of 15376

15376 = 2 x 2 x 2 x 2 x 31 x 31

Step 2: Find the prime factorization of 15384

15384 = 2 x 2 x 2 x 3 x 641

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

LCM = 29568048 = 2 x 2 x 2 x 2 x 3 x 31 x 31 x 641

Step 4: Therefore, the least common multiple of 15376 and 15384 is 29568048.