Least Common Multiple of 15371 and 15377

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 15377 the smallest integer that is 236359867 that is divisible by both numbers.

Least Common Multiple (LCM) of 15371 and 15377 is 236359867.

LCM(15371,15377) = 236359867

LCM of 15371 and 15377

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

LCM of:
and

Least Common Multiple of 15371 and 15377

LCM of 15371 and 15377 is 236359867

Least common multiple can be found by multiplying the highest exponent prime factors of 15371 and 15377. First we will calculate the prime factors of 15371 and 15377.

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 15377


15377 15377
1

Prime factors of 15377 are 15377. Prime factorization of 15377 in exponential form is:

15377 = 153771

Now multiplying the highest exponent prime factors to calculate the LCM of 15371 and 15377.

LCM(15371,15377) = 191×8091×153771
LCM(15371,15377) = 236359867

Factors of 15371

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

1, 19, 809, 15371

Factors of 15377

List of positive integer factors of 15377 that divides 15377 without a remainder.

1, 15377

Least Common Multiple of 15371 and 15377 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 15377, than apply into the LCM equation.

GCF(15371,15377) = 1
LCM(15371,15377) = ( 15371 × 15377) / 1
LCM(15371,15377) = 236359867 / 1
LCM(15371,15377) = 236359867

Properties of LCM 15371 and 15377

(i) The LCM of 15377 and 15371 is associative

LCM of 15371 and 15377 = LCM of 15377 and 15371

Related Least Common Multiples of 15371

Related Least Common Multiples of 15377

Frequently Asked Questions on LCM of 15371 and 15377

1. What is the LCM of 15371 and 15377?

Answer: LCM of 15371 and 15377 is 236359867.

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 15377?

Answer: Factors of 15377 are 1, 15377. There are 2 integers that are factors of 15377. The greatest factor of 15377 is 15377.

4. How to Find the LCM of 15371 and 15377?

Answer:

Least Common Multiple of 15371 and 15377 = 236359867

Step 1: Find the prime factorization of 15371

15371 = 19 x 809

Step 2: Find the prime factorization of 15377

15377 = 15377

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

LCM = 236359867 = 19 x 809 x 15377

Step 4: Therefore, the least common multiple of 15371 and 15377 is 236359867.