Least Common Multiple of 8884 and 8887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8884 and 8887 the smallest integer that is 78952108 that is divisible by both numbers.

Least Common Multiple (LCM) of 8884 and 8887 is 78952108.

LCM(8884,8887) = 78952108

LCM of 8884 and 8887

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

LCM of:
and

Least Common Multiple of 8884 and 8887

LCM of 8884 and 8887 is 78952108

Least common multiple can be found by multiplying the highest exponent prime factors of 8884 and 8887. First we will calculate the prime factors of 8884 and 8887.

Prime Factorization of 8884


2 8884
2 4442
2221 2221
1

Prime factors of 8884 are 2,2221. Prime factorization of 8884 in exponential form is:

8884 = 22×22211

Prime Factorization of 8887


8887 8887
1

Prime factors of 8887 are 8887. Prime factorization of 8887 in exponential form is:

8887 = 88871

Now multiplying the highest exponent prime factors to calculate the LCM of 8884 and 8887.

LCM(8884,8887) = 22×22211×88871
LCM(8884,8887) = 78952108

Factors of 8884

List of positive integer factors of 8884 that divides 8884 without a remainder.

1, 2, 4, 2221, 4442, 8884

Factors of 8887

List of positive integer factors of 8887 that divides 8887 without a remainder.

1, 8887

Least Common Multiple of 8884 and 8887 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8884 and 8887, than apply into the LCM equation.

GCF(8884,8887) = 1
LCM(8884,8887) = ( 8884 × 8887) / 1
LCM(8884,8887) = 78952108 / 1
LCM(8884,8887) = 78952108

Properties of LCM 8884 and 8887

(i) The LCM of 8887 and 8884 is associative

LCM of 8884 and 8887 = LCM of 8887 and 8884

Related Least Common Multiples of 8884

Related Least Common Multiples of 8887

Frequently Asked Questions on LCM of 8884 and 8887

1. What is the LCM of 8884 and 8887?

Answer: LCM of 8884 and 8887 is 78952108.

2. What are the Factors of 8884?

Answer: Factors of 8884 are 1, 2, 4, 2221, 4442, 8884. There are 6 integers that are factors of 8884. The greatest factor of 8884 is 8884.

3. What are the Factors of 8887?

Answer: Factors of 8887 are 1, 8887. There are 2 integers that are factors of 8887. The greatest factor of 8887 is 8887.

4. How to Find the LCM of 8884 and 8887?

Answer:

Least Common Multiple of 8884 and 8887 = 78952108

Step 1: Find the prime factorization of 8884

8884 = 2 x 2 x 2221

Step 2: Find the prime factorization of 8887

8887 = 8887

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

LCM = 78952108 = 2 x 2 x 2221 x 8887

Step 4: Therefore, the least common multiple of 8884 and 8887 is 78952108.