Least Common Multiple of 8882 and 8889

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8882 and 8889 the smallest integer that is 78952098 that is divisible by both numbers.

Least Common Multiple (LCM) of 8882 and 8889 is 78952098.

LCM(8882,8889) = 78952098

LCM of 8882 and 8889

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

LCM of:
and

Least Common Multiple of 8882 and 8889

LCM of 8882 and 8889 is 78952098

Least common multiple can be found by multiplying the highest exponent prime factors of 8882 and 8889. First we will calculate the prime factors of 8882 and 8889.

Prime Factorization of 8882


2 8882
4441 4441
1

Prime factors of 8882 are 2,4441. Prime factorization of 8882 in exponential form is:

8882 = 21×44411

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

Now multiplying the highest exponent prime factors to calculate the LCM of 8882 and 8889.

LCM(8882,8889) = 21×31×29631×44411
LCM(8882,8889) = 78952098

Factors of 8882

List of positive integer factors of 8882 that divides 8882 without a remainder.

1, 2, 4441, 8882

Factors of 8889

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

1, 3, 2963, 8889

Least Common Multiple of 8882 and 8889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8882 and 8889, than apply into the LCM equation.

GCF(8882,8889) = 1
LCM(8882,8889) = ( 8882 × 8889) / 1
LCM(8882,8889) = 78952098 / 1
LCM(8882,8889) = 78952098

Properties of LCM 8882 and 8889

(i) The LCM of 8889 and 8882 is associative

LCM of 8882 and 8889 = LCM of 8889 and 8882

Related Least Common Multiples of 8882

Related Least Common Multiples of 8889

Frequently Asked Questions on LCM of 8882 and 8889

1. What is the LCM of 8882 and 8889?

Answer: LCM of 8882 and 8889 is 78952098.

2. What are the Factors of 8882?

Answer: Factors of 8882 are 1, 2, 4441, 8882. There are 4 integers that are factors of 8882. The greatest factor of 8882 is 8882.

3. 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.

4. How to Find the LCM of 8882 and 8889?

Answer:

Least Common Multiple of 8882 and 8889 = 78952098

Step 1: Find the prime factorization of 8882

8882 = 2 x 4441

Step 2: Find the prime factorization of 8889

8889 = 3 x 2963

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

LCM = 78952098 = 2 x 3 x 2963 x 4441

Step 4: Therefore, the least common multiple of 8882 and 8889 is 78952098.