Least Common Multiple of 8865 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 8865 and 8871 the smallest integer that is 26213805 that is divisible by both numbers.

Least Common Multiple (LCM) of 8865 and 8871 is 26213805.

LCM(8865,8871) = 26213805

LCM of 8865 and 8871

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

LCM of:
and

Least Common Multiple of 8865 and 8871

LCM of 8865 and 8871 is 26213805

Least common multiple can be found by multiplying the highest exponent prime factors of 8865 and 8871. First we will calculate the prime factors of 8865 and 8871.

Prime Factorization of 8865


3 8865
3 2955
5 985
197 197
1

Prime factors of 8865 are 3, 5,197. Prime factorization of 8865 in exponential form is:

8865 = 32×51×1971

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 8865 and 8871.

LCM(8865,8871) = 32×51×1971×29571
LCM(8865,8871) = 26213805

Factors of 8865

List of positive integer factors of 8865 that divides 8865 without a remainder.

1, 3, 5, 9, 15, 45, 197, 591, 985, 1773, 2955, 8865

Factors of 8871

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

1, 3, 2957, 8871

Least Common Multiple of 8865 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 8865 and 8871, than apply into the LCM equation.

GCF(8865,8871) = 3
LCM(8865,8871) = ( 8865 × 8871) / 3
LCM(8865,8871) = 78641415 / 3
LCM(8865,8871) = 26213805

Properties of LCM 8865 and 8871

(i) The LCM of 8871 and 8865 is associative

LCM of 8865 and 8871 = LCM of 8871 and 8865

Related Least Common Multiples of 8865

Related Least Common Multiples of 8871

Frequently Asked Questions on LCM of 8865 and 8871

1. What is the LCM of 8865 and 8871?

Answer: LCM of 8865 and 8871 is 26213805.

2. What are the Factors of 8865?

Answer: Factors of 8865 are 1, 3, 5, 9, 15, 45, 197, 591, 985, 1773, 2955, 8865. There are 12 integers that are factors of 8865. The greatest factor of 8865 is 8865.

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 8865 and 8871?

Answer:

Least Common Multiple of 8865 and 8871 = 26213805

Step 1: Find the prime factorization of 8865

8865 = 3 x 3 x 5 x 197

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 = 26213805 = 3 x 3 x 5 x 197 x 2957

Step 4: Therefore, the least common multiple of 8865 and 8871 is 26213805.