Least Common Multiple of 8889 and 8895

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8889 and 8895 the smallest integer that is 26355885 that is divisible by both numbers.

Least Common Multiple (LCM) of 8889 and 8895 is 26355885.

LCM(8889,8895) = 26355885

LCM of 8889 and 8895

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

LCM of:
and

Least Common Multiple of 8889 and 8895

LCM of 8889 and 8895 is 26355885

Least common multiple can be found by multiplying the highest exponent prime factors of 8889 and 8895. First we will calculate the prime factors of 8889 and 8895.

Prime Factorization of 8889


3 8889
2963 2963
1

Prime factors of 8889 are 3,2963. Prime factorization of 8889 in exponential form is:

8889 = 31×29631

Prime Factorization of 8895


3 8895
5 2965
593 593
1

Prime factors of 8895 are 3, 5,593. Prime factorization of 8895 in exponential form is:

8895 = 31×51×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 8889 and 8895.

LCM(8889,8895) = 31×51×5931×29631
LCM(8889,8895) = 26355885

Factors of 8889

List of positive integer factors of 8889 that divides 8889 without a remainder.

1, 3, 2963, 8889

Factors of 8895

List of positive integer factors of 8895 that divides 8895 without a remainder.

1, 3, 5, 15, 593, 1779, 2965, 8895

Least Common Multiple of 8889 and 8895 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8889 and 8895, than apply into the LCM equation.

GCF(8889,8895) = 3
LCM(8889,8895) = ( 8889 × 8895) / 3
LCM(8889,8895) = 79067655 / 3
LCM(8889,8895) = 26355885

Properties of LCM 8889 and 8895

(i) The LCM of 8895 and 8889 is associative

LCM of 8889 and 8895 = LCM of 8895 and 8889

Related Least Common Multiples of 8889

Related Least Common Multiples of 8895

Frequently Asked Questions on LCM of 8889 and 8895

1. What is the LCM of 8889 and 8895?

Answer: LCM of 8889 and 8895 is 26355885.

2. What are the Factors of 8889?

Answer: Factors of 8889 are 1, 3, 2963, 8889. There are 4 integers that are factors of 8889. The greatest factor of 8889 is 8889.

3. What are the Factors of 8895?

Answer: Factors of 8895 are 1, 3, 5, 15, 593, 1779, 2965, 8895. There are 8 integers that are factors of 8895. The greatest factor of 8895 is 8895.

4. How to Find the LCM of 8889 and 8895?

Answer:

Least Common Multiple of 8889 and 8895 = 26355885

Step 1: Find the prime factorization of 8889

8889 = 3 x 2963

Step 2: Find the prime factorization of 8895

8895 = 3 x 5 x 593

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

LCM = 26355885 = 3 x 5 x 593 x 2963

Step 4: Therefore, the least common multiple of 8889 and 8895 is 26355885.