Least Common Multiple of 8871 and 8878

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 8878 the smallest integer that is 78756738 that is divisible by both numbers.

Least Common Multiple (LCM) of 8871 and 8878 is 78756738.

LCM(8871,8878) = 78756738

LCM of 8871 and 8878

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

LCM of:
and

Least Common Multiple of 8871 and 8878

LCM of 8871 and 8878 is 78756738

Least common multiple can be found by multiplying the highest exponent prime factors of 8871 and 8878. First we will calculate the prime factors of 8871 and 8878.

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 8878


2 8878
23 4439
193 193
1

Prime factors of 8878 are 2, 23,193. Prime factorization of 8878 in exponential form is:

8878 = 21×231×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 8871 and 8878.

LCM(8871,8878) = 21×31×231×1931×29571
LCM(8871,8878) = 78756738

Factors of 8871

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

1, 3, 2957, 8871

Factors of 8878

List of positive integer factors of 8878 that divides 8878 without a remainder.

1, 2, 23, 46, 193, 386, 4439, 8878

Least Common Multiple of 8871 and 8878 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 8878, than apply into the LCM equation.

GCF(8871,8878) = 1
LCM(8871,8878) = ( 8871 × 8878) / 1
LCM(8871,8878) = 78756738 / 1
LCM(8871,8878) = 78756738

Properties of LCM 8871 and 8878

(i) The LCM of 8878 and 8871 is associative

LCM of 8871 and 8878 = LCM of 8878 and 8871

Related Least Common Multiples of 8871

Related Least Common Multiples of 8878

Frequently Asked Questions on LCM of 8871 and 8878

1. What is the LCM of 8871 and 8878?

Answer: LCM of 8871 and 8878 is 78756738.

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 8878?

Answer: Factors of 8878 are 1, 2, 23, 46, 193, 386, 4439, 8878. There are 8 integers that are factors of 8878. The greatest factor of 8878 is 8878.

4. How to Find the LCM of 8871 and 8878?

Answer:

Least Common Multiple of 8871 and 8878 = 78756738

Step 1: Find the prime factorization of 8871

8871 = 3 x 2957

Step 2: Find the prime factorization of 8878

8878 = 2 x 23 x 193

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

LCM = 78756738 = 2 x 3 x 23 x 193 x 2957

Step 4: Therefore, the least common multiple of 8871 and 8878 is 78756738.