Least Common Multiple of 15371 and 15376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 15371 and 15376 the smallest integer that is 236344496 that is divisible by both numbers.

Least Common Multiple (LCM) of 15371 and 15376 is 236344496.

LCM(15371,15376) = 236344496

LCM of 15371 and 15376

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

LCM of:
and

Least Common Multiple of 15371 and 15376

LCM of 15371 and 15376 is 236344496

Least common multiple can be found by multiplying the highest exponent prime factors of 15371 and 15376. First we will calculate the prime factors of 15371 and 15376.

Prime Factorization of 15371


19 15371
809 809
1

Prime factors of 15371 are 19,809. Prime factorization of 15371 in exponential form is:

15371 = 191×8091

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

Now multiplying the highest exponent prime factors to calculate the LCM of 15371 and 15376.

LCM(15371,15376) = 24×191×312×8091
LCM(15371,15376) = 236344496

Factors of 15371

List of positive integer factors of 15371 that divides 15371 without a remainder.

1, 19, 809, 15371

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

Least Common Multiple of 15371 and 15376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15371 and 15376, than apply into the LCM equation.

GCF(15371,15376) = 1
LCM(15371,15376) = ( 15371 × 15376) / 1
LCM(15371,15376) = 236344496 / 1
LCM(15371,15376) = 236344496

Properties of LCM 15371 and 15376

(i) The LCM of 15376 and 15371 is associative

LCM of 15371 and 15376 = LCM of 15376 and 15371

Related Least Common Multiples of 15371

Related Least Common Multiples of 15376

Frequently Asked Questions on LCM of 15371 and 15376

1. What is the LCM of 15371 and 15376?

Answer: LCM of 15371 and 15376 is 236344496.

2. What are the Factors of 15371?

Answer: Factors of 15371 are 1, 19, 809, 15371. There are 4 integers that are factors of 15371. The greatest factor of 15371 is 15371.

3. 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.

4. How to Find the LCM of 15371 and 15376?

Answer:

Least Common Multiple of 15371 and 15376 = 236344496

Step 1: Find the prime factorization of 15371

15371 = 19 x 809

Step 2: Find the prime factorization of 15376

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

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

LCM = 236344496 = 2 x 2 x 2 x 2 x 19 x 31 x 31 x 809

Step 4: Therefore, the least common multiple of 15371 and 15376 is 236344496.