Least Common Multiple of 8871 and 8876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8871 and 8876 the smallest integer that is 78738996 that is divisible by both numbers.

Least Common Multiple (LCM) of 8871 and 8876 is 78738996.

LCM(8871,8876) = 78738996

LCM of 8871 and 8876

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

LCM of:
and

Least Common Multiple of 8871 and 8876

LCM of 8871 and 8876 is 78738996

Least common multiple can be found by multiplying the highest exponent prime factors of 8871 and 8876. First we will calculate the prime factors of 8871 and 8876.

Prime Factorization of 8871


3 8871
2957 2957
1

Prime factors of 8871 are 3,2957. Prime factorization of 8871 in exponential form is:

8871 = 31×29571

Prime Factorization of 8876


2 8876
2 4438
7 2219
317 317
1

Prime factors of 8876 are 2, 7,317. Prime factorization of 8876 in exponential form is:

8876 = 22×71×3171

Now multiplying the highest exponent prime factors to calculate the LCM of 8871 and 8876.

LCM(8871,8876) = 22×31×71×3171×29571
LCM(8871,8876) = 78738996

Factors of 8871

List of positive integer factors of 8871 that divides 8871 without a remainder.

1, 3, 2957, 8871

Factors of 8876

List of positive integer factors of 8876 that divides 8876 without a remainder.

1, 2, 4, 7, 14, 28, 317, 634, 1268, 2219, 4438, 8876

Least Common Multiple of 8871 and 8876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8871 and 8876, than apply into the LCM equation.

GCF(8871,8876) = 1
LCM(8871,8876) = ( 8871 × 8876) / 1
LCM(8871,8876) = 78738996 / 1
LCM(8871,8876) = 78738996

Properties of LCM 8871 and 8876

(i) The LCM of 8876 and 8871 is associative

LCM of 8871 and 8876 = LCM of 8876 and 8871

Related Least Common Multiples of 8871

Related Least Common Multiples of 8876

Frequently Asked Questions on LCM of 8871 and 8876

1. What is the LCM of 8871 and 8876?

Answer: LCM of 8871 and 8876 is 78738996.

2. What are the Factors of 8871?

Answer: Factors of 8871 are 1, 3, 2957, 8871. There are 4 integers that are factors of 8871. The greatest factor of 8871 is 8871.

3. What are the Factors of 8876?

Answer: Factors of 8876 are 1, 2, 4, 7, 14, 28, 317, 634, 1268, 2219, 4438, 8876. There are 12 integers that are factors of 8876. The greatest factor of 8876 is 8876.

4. How to Find the LCM of 8871 and 8876?

Answer:

Least Common Multiple of 8871 and 8876 = 78738996

Step 1: Find the prime factorization of 8871

8871 = 3 x 2957

Step 2: Find the prime factorization of 8876

8876 = 2 x 2 x 7 x 317

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

LCM = 78738996 = 2 x 2 x 3 x 7 x 317 x 2957

Step 4: Therefore, the least common multiple of 8871 and 8876 is 78738996.