Least Common Multiple of 8888 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 8888 and 8892 the smallest integer that is 19758024 that is divisible by both numbers.

Least Common Multiple (LCM) of 8888 and 8892 is 19758024.

LCM(8888,8892) = 19758024

LCM of 8888 and 8892

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

LCM of:
and

Least Common Multiple of 8888 and 8892

LCM of 8888 and 8892 is 19758024

Least common multiple can be found by multiplying the highest exponent prime factors of 8888 and 8892. First we will calculate the prime factors of 8888 and 8892.

Prime Factorization of 8888


2 8888
2 4444
2 2222
11 1111
101 101
1

Prime factors of 8888 are 2, 11,101. Prime factorization of 8888 in exponential form is:

8888 = 23×111×1011

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 8888 and 8892.

LCM(8888,8892) = 23×32×111×131×191×1011
LCM(8888,8892) = 19758024

Factors of 8888

List of positive integer factors of 8888 that divides 8888 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 101, 202, 404, 808, 1111, 2222, 4444, 8888

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 8888 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 8888 and 8892, than apply into the LCM equation.

GCF(8888,8892) = 4
LCM(8888,8892) = ( 8888 × 8892) / 4
LCM(8888,8892) = 79032096 / 4
LCM(8888,8892) = 19758024

Properties of LCM 8888 and 8892

(i) The LCM of 8892 and 8888 is associative

LCM of 8888 and 8892 = LCM of 8892 and 8888

Related Least Common Multiples of 8888

Related Least Common Multiples of 8892

Frequently Asked Questions on LCM of 8888 and 8892

1. What is the LCM of 8888 and 8892?

Answer: LCM of 8888 and 8892 is 19758024.

2. What are the Factors of 8888?

Answer: Factors of 8888 are 1, 2, 4, 8, 11, 22, 44, 88, 101, 202, 404, 808, 1111, 2222, 4444, 8888. There are 16 integers that are factors of 8888. The greatest factor of 8888 is 8888.

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 8888 and 8892?

Answer:

Least Common Multiple of 8888 and 8892 = 19758024

Step 1: Find the prime factorization of 8888

8888 = 2 x 2 x 2 x 11 x 101

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 = 19758024 = 2 x 2 x 2 x 3 x 3 x 11 x 13 x 19 x 101

Step 4: Therefore, the least common multiple of 8888 and 8892 is 19758024.