Least Common Multiple of 6876 and 6881

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6876 and 6881 the smallest integer that is 47313756 that is divisible by both numbers.

Least Common Multiple (LCM) of 6876 and 6881 is 47313756.

LCM(6876,6881) = 47313756

LCM of 6876 and 6881

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

LCM of:
and

Least Common Multiple of 6876 and 6881

LCM of 6876 and 6881 is 47313756

Least common multiple can be found by multiplying the highest exponent prime factors of 6876 and 6881. First we will calculate the prime factors of 6876 and 6881.

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

Prime Factorization of 6881


7 6881
983 983
1

Prime factors of 6881 are 7,983. Prime factorization of 6881 in exponential form is:

6881 = 71×9831

Now multiplying the highest exponent prime factors to calculate the LCM of 6876 and 6881.

LCM(6876,6881) = 22×32×71×1911×9831
LCM(6876,6881) = 47313756

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

Factors of 6881

List of positive integer factors of 6881 that divides 6881 without a remainder.

1, 7, 983, 6881

Least Common Multiple of 6876 and 6881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6876 and 6881, than apply into the LCM equation.

GCF(6876,6881) = 1
LCM(6876,6881) = ( 6876 × 6881) / 1
LCM(6876,6881) = 47313756 / 1
LCM(6876,6881) = 47313756

Properties of LCM 6876 and 6881

(i) The LCM of 6881 and 6876 is associative

LCM of 6876 and 6881 = LCM of 6881 and 6876

Related Least Common Multiples of 6876

Related Least Common Multiples of 6881

Frequently Asked Questions on LCM of 6876 and 6881

1. What is the LCM of 6876 and 6881?

Answer: LCM of 6876 and 6881 is 47313756.

2. 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.

3. What are the Factors of 6881?

Answer: Factors of 6881 are 1, 7, 983, 6881. There are 4 integers that are factors of 6881. The greatest factor of 6881 is 6881.

4. How to Find the LCM of 6876 and 6881?

Answer:

Least Common Multiple of 6876 and 6881 = 47313756

Step 1: Find the prime factorization of 6876

6876 = 2 x 2 x 3 x 3 x 191

Step 2: Find the prime factorization of 6881

6881 = 7 x 983

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

LCM = 47313756 = 2 x 2 x 3 x 3 x 7 x 191 x 983

Step 4: Therefore, the least common multiple of 6876 and 6881 is 47313756.