Least Common Multiple of 15376 and 15380

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 15380 the smallest integer that is 59120720 that is divisible by both numbers.

Least Common Multiple (LCM) of 15376 and 15380 is 59120720.

LCM(15376,15380) = 59120720

LCM of 15376 and 15380

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

LCM of:
and

Least Common Multiple of 15376 and 15380

LCM of 15376 and 15380 is 59120720

Least common multiple can be found by multiplying the highest exponent prime factors of 15376 and 15380. First we will calculate the prime factors of 15376 and 15380.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 15376 and 15380.

LCM(15376,15380) = 24×51×312×7691
LCM(15376,15380) = 59120720

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 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

Least Common Multiple of 15376 and 15380 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 15380, than apply into the LCM equation.

GCF(15376,15380) = 4
LCM(15376,15380) = ( 15376 × 15380) / 4
LCM(15376,15380) = 236482880 / 4
LCM(15376,15380) = 59120720

Properties of LCM 15376 and 15380

(i) The LCM of 15380 and 15376 is associative

LCM of 15376 and 15380 = LCM of 15380 and 15376

Related Least Common Multiples of 15376

Related Least Common Multiples of 15380

Frequently Asked Questions on LCM of 15376 and 15380

1. What is the LCM of 15376 and 15380?

Answer: LCM of 15376 and 15380 is 59120720.

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 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.

4. How to Find the LCM of 15376 and 15380?

Answer:

Least Common Multiple of 15376 and 15380 = 59120720

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 15380

15380 = 2 x 2 x 5 x 769

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

LCM = 59120720 = 2 x 2 x 2 x 2 x 5 x 31 x 31 x 769

Step 4: Therefore, the least common multiple of 15376 and 15380 is 59120720.