Least Common Multiple of 8887 and 8892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8887 and 8892 the smallest integer that is 79023204 that is divisible by both numbers.

Least Common Multiple (LCM) of 8887 and 8892 is 79023204.

LCM(8887,8892) = 79023204

LCM of 8887 and 8892

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

LCM of:
and

Least Common Multiple of 8887 and 8892

LCM of 8887 and 8892 is 79023204

Least common multiple can be found by multiplying the highest exponent prime factors of 8887 and 8892. First we will calculate the prime factors of 8887 and 8892.

Prime Factorization of 8887


8887 8887
1

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

8887 = 88871

Prime Factorization of 8892


2 8892
2 4446
3 2223
3 741
13 247
19 19
1

Prime factors of 8892 are 2, 3, 13,19. Prime factorization of 8892 in exponential form is:

8892 = 22×32×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 8887 and 8892.

LCM(8887,8892) = 22×32×131×191×88871
LCM(8887,8892) = 79023204

Factors of 8887

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

1, 8887

Factors of 8892

List of positive integer factors of 8892 that divides 8892 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 36, 38, 39, 52, 57, 76, 78, 114, 117, 156, 171, 228, 234, 247, 342, 468, 494, 684, 741, 988, 1482, 2223, 2964, 4446, 8892

Least Common Multiple of 8887 and 8892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8887 and 8892, than apply into the LCM equation.

GCF(8887,8892) = 1
LCM(8887,8892) = ( 8887 × 8892) / 1
LCM(8887,8892) = 79023204 / 1
LCM(8887,8892) = 79023204

Properties of LCM 8887 and 8892

(i) The LCM of 8892 and 8887 is associative

LCM of 8887 and 8892 = LCM of 8892 and 8887

Related Least Common Multiples of 8887

Related Least Common Multiples of 8892

Frequently Asked Questions on LCM of 8887 and 8892

1. What is the LCM of 8887 and 8892?

Answer: LCM of 8887 and 8892 is 79023204.

2. 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.

3. What are the Factors of 8892?

Answer: Factors of 8892 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 19, 26, 36, 38, 39, 52, 57, 76, 78, 114, 117, 156, 171, 228, 234, 247, 342, 468, 494, 684, 741, 988, 1482, 2223, 2964, 4446, 8892. There are 36 integers that are factors of 8892. The greatest factor of 8892 is 8892.

4. How to Find the LCM of 8887 and 8892?

Answer:

Least Common Multiple of 8887 and 8892 = 79023204

Step 1: Find the prime factorization of 8887

8887 = 8887

Step 2: Find the prime factorization of 8892

8892 = 2 x 2 x 3 x 3 x 13 x 19

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

LCM = 79023204 = 2 x 2 x 3 x 3 x 13 x 19 x 8887

Step 4: Therefore, the least common multiple of 8887 and 8892 is 79023204.