Least Common Multiple of 15380 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 15380 and 15384 the smallest integer that is 59151480 that is divisible by both numbers.

Least Common Multiple (LCM) of 15380 and 15384 is 59151480.

LCM(15380,15384) = 59151480

LCM of 15380 and 15384

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

LCM of:
and

Least Common Multiple of 15380 and 15384

LCM of 15380 and 15384 is 59151480

Least common multiple can be found by multiplying the highest exponent prime factors of 15380 and 15384. First we will calculate the prime factors of 15380 and 15384.

Prime Factorization of 15380


2 15380
2 7690
5 3845
769 769
1

Prime factors of 15380 are 2, 5,769. Prime factorization of 15380 in exponential form is:

15380 = 22×51×7691

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 15380 and 15384.

LCM(15380,15384) = 23×31×51×6411×7691
LCM(15380,15384) = 59151480

Factors of 15380

List of positive integer factors of 15380 that divides 15380 without a remainder.

1, 2, 4, 5, 10, 20, 769, 1538, 3076, 3845, 7690, 15380

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 15380 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 15380 and 15384, than apply into the LCM equation.

GCF(15380,15384) = 4
LCM(15380,15384) = ( 15380 × 15384) / 4
LCM(15380,15384) = 236605920 / 4
LCM(15380,15384) = 59151480

Properties of LCM 15380 and 15384

(i) The LCM of 15384 and 15380 is associative

LCM of 15380 and 15384 = LCM of 15384 and 15380

Related Least Common Multiples of 15380

Related Least Common Multiples of 15384

Frequently Asked Questions on LCM of 15380 and 15384

1. What is the LCM of 15380 and 15384?

Answer: LCM of 15380 and 15384 is 59151480.

2. What are the Factors of 15380?

Answer: Factors of 15380 are 1, 2, 4, 5, 10, 20, 769, 1538, 3076, 3845, 7690, 15380. There are 12 integers that are factors of 15380. The greatest factor of 15380 is 15380.

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 15380 and 15384?

Answer:

Least Common Multiple of 15380 and 15384 = 59151480

Step 1: Find the prime factorization of 15380

15380 = 2 x 2 x 5 x 769

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 = 59151480 = 2 x 2 x 2 x 3 x 5 x 641 x 769

Step 4: Therefore, the least common multiple of 15380 and 15384 is 59151480.