Least Common Multiple of 8863 and 8871

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8863 and 8871 the smallest integer that is 78623673 that is divisible by both numbers.

Least Common Multiple (LCM) of 8863 and 8871 is 78623673.

LCM(8863,8871) = 78623673

LCM of 8863 and 8871

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

LCM of:
and

Least Common Multiple of 8863 and 8871

LCM of 8863 and 8871 is 78623673

Least common multiple can be found by multiplying the highest exponent prime factors of 8863 and 8871. First we will calculate the prime factors of 8863 and 8871.

Prime Factorization of 8863


8863 8863
1

Prime factors of 8863 are 8863. Prime factorization of 8863 in exponential form is:

8863 = 88631

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8863 and 8871.

LCM(8863,8871) = 31×29571×88631
LCM(8863,8871) = 78623673

Factors of 8863

List of positive integer factors of 8863 that divides 8863 without a remainder.

1, 8863

Factors of 8871

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

1, 3, 2957, 8871

Least Common Multiple of 8863 and 8871 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8863 and 8871, than apply into the LCM equation.

GCF(8863,8871) = 1
LCM(8863,8871) = ( 8863 × 8871) / 1
LCM(8863,8871) = 78623673 / 1
LCM(8863,8871) = 78623673

Properties of LCM 8863 and 8871

(i) The LCM of 8871 and 8863 is associative

LCM of 8863 and 8871 = LCM of 8871 and 8863

Related Least Common Multiples of 8863

Related Least Common Multiples of 8871

Frequently Asked Questions on LCM of 8863 and 8871

1. What is the LCM of 8863 and 8871?

Answer: LCM of 8863 and 8871 is 78623673.

2. What are the Factors of 8863?

Answer: Factors of 8863 are 1, 8863. There are 2 integers that are factors of 8863. The greatest factor of 8863 is 8863.

3. 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.

4. How to Find the LCM of 8863 and 8871?

Answer:

Least Common Multiple of 8863 and 8871 = 78623673

Step 1: Find the prime factorization of 8863

8863 = 8863

Step 2: Find the prime factorization of 8871

8871 = 3 x 2957

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

LCM = 78623673 = 3 x 2957 x 8863

Step 4: Therefore, the least common multiple of 8863 and 8871 is 78623673.