Least Common Multiple of 6871 and 6877

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6871 and 6877 the smallest integer that is 47251867 that is divisible by both numbers.

Least Common Multiple (LCM) of 6871 and 6877 is 47251867.

LCM(6871,6877) = 47251867

LCM of 6871 and 6877

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

LCM of:
and

Least Common Multiple of 6871 and 6877

LCM of 6871 and 6877 is 47251867

Least common multiple can be found by multiplying the highest exponent prime factors of 6871 and 6877. First we will calculate the prime factors of 6871 and 6877.

Prime Factorization of 6871


6871 6871
1

Prime factors of 6871 are 6871. Prime factorization of 6871 in exponential form is:

6871 = 68711

Prime Factorization of 6877


13 6877
23 529
23 23
1

Prime factors of 6877 are 13,23. Prime factorization of 6877 in exponential form is:

6877 = 131×232

Now multiplying the highest exponent prime factors to calculate the LCM of 6871 and 6877.

LCM(6871,6877) = 131×232×68711
LCM(6871,6877) = 47251867

Factors of 6871

List of positive integer factors of 6871 that divides 6871 without a remainder.

1, 6871

Factors of 6877

List of positive integer factors of 6877 that divides 6877 without a remainder.

1, 13, 23, 299, 529, 6877

Least Common Multiple of 6871 and 6877 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6871 and 6877, than apply into the LCM equation.

GCF(6871,6877) = 1
LCM(6871,6877) = ( 6871 × 6877) / 1
LCM(6871,6877) = 47251867 / 1
LCM(6871,6877) = 47251867

Properties of LCM 6871 and 6877

(i) The LCM of 6877 and 6871 is associative

LCM of 6871 and 6877 = LCM of 6877 and 6871

Related Least Common Multiples of 6871

Related Least Common Multiples of 6877

Frequently Asked Questions on LCM of 6871 and 6877

1. What is the LCM of 6871 and 6877?

Answer: LCM of 6871 and 6877 is 47251867.

2. What are the Factors of 6871?

Answer: Factors of 6871 are 1, 6871. There are 2 integers that are factors of 6871. The greatest factor of 6871 is 6871.

3. What are the Factors of 6877?

Answer: Factors of 6877 are 1, 13, 23, 299, 529, 6877. There are 6 integers that are factors of 6877. The greatest factor of 6877 is 6877.

4. How to Find the LCM of 6871 and 6877?

Answer:

Least Common Multiple of 6871 and 6877 = 47251867

Step 1: Find the prime factorization of 6871

6871 = 6871

Step 2: Find the prime factorization of 6877

6877 = 13 x 23 x 23

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

LCM = 47251867 = 13 x 23 x 23 x 6871

Step 4: Therefore, the least common multiple of 6871 and 6877 is 47251867.