Least Common Multiple of 8884 and 8888

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 8888 the smallest integer that is 19740248 that is divisible by both numbers.

Least Common Multiple (LCM) of 8884 and 8888 is 19740248.

LCM(8884,8888) = 19740248

LCM of 8884 and 8888

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

LCM of:
and

Least Common Multiple of 8884 and 8888

LCM of 8884 and 8888 is 19740248

Least common multiple can be found by multiplying the highest exponent prime factors of 8884 and 8888. First we will calculate the prime factors of 8884 and 8888.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8884 and 8888.

LCM(8884,8888) = 23×111×1011×22211
LCM(8884,8888) = 19740248

Factors of 8884

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

1, 2, 4, 2221, 4442, 8884

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

Least Common Multiple of 8884 and 8888 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 8888, than apply into the LCM equation.

GCF(8884,8888) = 4
LCM(8884,8888) = ( 8884 × 8888) / 4
LCM(8884,8888) = 78960992 / 4
LCM(8884,8888) = 19740248

Properties of LCM 8884 and 8888

(i) The LCM of 8888 and 8884 is associative

LCM of 8884 and 8888 = LCM of 8888 and 8884

Related Least Common Multiples of 8884

Related Least Common Multiples of 8888

Frequently Asked Questions on LCM of 8884 and 8888

1. What is the LCM of 8884 and 8888?

Answer: LCM of 8884 and 8888 is 19740248.

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 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.

4. How to Find the LCM of 8884 and 8888?

Answer:

Least Common Multiple of 8884 and 8888 = 19740248

Step 1: Find the prime factorization of 8884

8884 = 2 x 2 x 2221

Step 2: Find the prime factorization of 8888

8888 = 2 x 2 x 2 x 11 x 101

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

LCM = 19740248 = 2 x 2 x 2 x 11 x 101 x 2221

Step 4: Therefore, the least common multiple of 8884 and 8888 is 19740248.