Least Common Multiple of 8889 and 8891

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 8891 the smallest integer that is 79032099 that is divisible by both numbers.

Least Common Multiple (LCM) of 8889 and 8891 is 79032099.

LCM(8889,8891) = 79032099

LCM of 8889 and 8891

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

LCM of:
and

Least Common Multiple of 8889 and 8891

LCM of 8889 and 8891 is 79032099

Least common multiple can be found by multiplying the highest exponent prime factors of 8889 and 8891. First we will calculate the prime factors of 8889 and 8891.

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 8891


17 8891
523 523
1

Prime factors of 8891 are 17,523. Prime factorization of 8891 in exponential form is:

8891 = 171×5231

Now multiplying the highest exponent prime factors to calculate the LCM of 8889 and 8891.

LCM(8889,8891) = 31×171×5231×29631
LCM(8889,8891) = 79032099

Factors of 8889

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

1, 3, 2963, 8889

Factors of 8891

List of positive integer factors of 8891 that divides 8891 without a remainder.

1, 17, 523, 8891

Least Common Multiple of 8889 and 8891 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 8891, than apply into the LCM equation.

GCF(8889,8891) = 1
LCM(8889,8891) = ( 8889 × 8891) / 1
LCM(8889,8891) = 79032099 / 1
LCM(8889,8891) = 79032099

Properties of LCM 8889 and 8891

(i) The LCM of 8891 and 8889 is associative

LCM of 8889 and 8891 = LCM of 8891 and 8889

Related Least Common Multiples of 8889

Related Least Common Multiples of 8891

Frequently Asked Questions on LCM of 8889 and 8891

1. What is the LCM of 8889 and 8891?

Answer: LCM of 8889 and 8891 is 79032099.

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 8891?

Answer: Factors of 8891 are 1, 17, 523, 8891. There are 4 integers that are factors of 8891. The greatest factor of 8891 is 8891.

4. How to Find the LCM of 8889 and 8891?

Answer:

Least Common Multiple of 8889 and 8891 = 79032099

Step 1: Find the prime factorization of 8889

8889 = 3 x 2963

Step 2: Find the prime factorization of 8891

8891 = 17 x 523

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

LCM = 79032099 = 3 x 17 x 523 x 2963

Step 4: Therefore, the least common multiple of 8889 and 8891 is 79032099.