Least Common Multiple of 6871 and 6876

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 6876 the smallest integer that is 47244996 that is divisible by both numbers.

Least Common Multiple (LCM) of 6871 and 6876 is 47244996.

LCM(6871,6876) = 47244996

LCM of 6871 and 6876

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

LCM of:
and

Least Common Multiple of 6871 and 6876

LCM of 6871 and 6876 is 47244996

Least common multiple can be found by multiplying the highest exponent prime factors of 6871 and 6876. First we will calculate the prime factors of 6871 and 6876.

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 6876


2 6876
2 3438
3 1719
3 573
191 191
1

Prime factors of 6876 are 2, 3,191. Prime factorization of 6876 in exponential form is:

6876 = 22×32×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 6871 and 6876.

LCM(6871,6876) = 22×32×1911×68711
LCM(6871,6876) = 47244996

Factors of 6871

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

1, 6871

Factors of 6876

List of positive integer factors of 6876 that divides 6876 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 191, 382, 573, 764, 1146, 1719, 2292, 3438, 6876

Least Common Multiple of 6871 and 6876 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 6876, than apply into the LCM equation.

GCF(6871,6876) = 1
LCM(6871,6876) = ( 6871 × 6876) / 1
LCM(6871,6876) = 47244996 / 1
LCM(6871,6876) = 47244996

Properties of LCM 6871 and 6876

(i) The LCM of 6876 and 6871 is associative

LCM of 6871 and 6876 = LCM of 6876 and 6871

Related Least Common Multiples of 6871

Related Least Common Multiples of 6876

Frequently Asked Questions on LCM of 6871 and 6876

1. What is the LCM of 6871 and 6876?

Answer: LCM of 6871 and 6876 is 47244996.

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 6876?

Answer: Factors of 6876 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 191, 382, 573, 764, 1146, 1719, 2292, 3438, 6876. There are 18 integers that are factors of 6876. The greatest factor of 6876 is 6876.

4. How to Find the LCM of 6871 and 6876?

Answer:

Least Common Multiple of 6871 and 6876 = 47244996

Step 1: Find the prime factorization of 6871

6871 = 6871

Step 2: Find the prime factorization of 6876

6876 = 2 x 2 x 3 x 3 x 191

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

LCM = 47244996 = 2 x 2 x 3 x 3 x 191 x 6871

Step 4: Therefore, the least common multiple of 6871 and 6876 is 47244996.