Least Common Multiple of 8882 and 8886

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 8886 the smallest integer that is 39462726 that is divisible by both numbers.

Least Common Multiple (LCM) of 8882 and 8886 is 39462726.

LCM(8882,8886) = 39462726

LCM of 8882 and 8886

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

LCM of:
and

Least Common Multiple of 8882 and 8886

LCM of 8882 and 8886 is 39462726

Least common multiple can be found by multiplying the highest exponent prime factors of 8882 and 8886. First we will calculate the prime factors of 8882 and 8886.

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 8886


2 8886
3 4443
1481 1481
1

Prime factors of 8886 are 2, 3,1481. Prime factorization of 8886 in exponential form is:

8886 = 21×31×14811

Now multiplying the highest exponent prime factors to calculate the LCM of 8882 and 8886.

LCM(8882,8886) = 21×31×14811×44411
LCM(8882,8886) = 39462726

Factors of 8882

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

1, 2, 4441, 8882

Factors of 8886

List of positive integer factors of 8886 that divides 8886 without a remainder.

1, 2, 3, 6, 1481, 2962, 4443, 8886

Least Common Multiple of 8882 and 8886 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 8886, than apply into the LCM equation.

GCF(8882,8886) = 2
LCM(8882,8886) = ( 8882 × 8886) / 2
LCM(8882,8886) = 78925452 / 2
LCM(8882,8886) = 39462726

Properties of LCM 8882 and 8886

(i) The LCM of 8886 and 8882 is associative

LCM of 8882 and 8886 = LCM of 8886 and 8882

Frequently Asked Questions on LCM of 8882 and 8886

1. What is the LCM of 8882 and 8886?

Answer: LCM of 8882 and 8886 is 39462726.

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 8886?

Answer: Factors of 8886 are 1, 2, 3, 6, 1481, 2962, 4443, 8886. There are 8 integers that are factors of 8886. The greatest factor of 8886 is 8886.

4. How to Find the LCM of 8882 and 8886?

Answer:

Least Common Multiple of 8882 and 8886 = 39462726

Step 1: Find the prime factorization of 8882

8882 = 2 x 4441

Step 2: Find the prime factorization of 8886

8886 = 2 x 3 x 1481

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

LCM = 39462726 = 2 x 3 x 1481 x 4441

Step 4: Therefore, the least common multiple of 8882 and 8886 is 39462726.