Least Common Multiple of 8888 and 8895

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 8895 the smallest integer that is 79058760 that is divisible by both numbers.

Least Common Multiple (LCM) of 8888 and 8895 is 79058760.

LCM(8888,8895) = 79058760

LCM of 8888 and 8895

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

LCM of:
and

Least Common Multiple of 8888 and 8895

LCM of 8888 and 8895 is 79058760

Least common multiple can be found by multiplying the highest exponent prime factors of 8888 and 8895. First we will calculate the prime factors of 8888 and 8895.

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 8895


3 8895
5 2965
593 593
1

Prime factors of 8895 are 3, 5,593. Prime factorization of 8895 in exponential form is:

8895 = 31×51×5931

Now multiplying the highest exponent prime factors to calculate the LCM of 8888 and 8895.

LCM(8888,8895) = 23×31×51×111×1011×5931
LCM(8888,8895) = 79058760

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 8895

List of positive integer factors of 8895 that divides 8895 without a remainder.

1, 3, 5, 15, 593, 1779, 2965, 8895

Least Common Multiple of 8888 and 8895 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 8895, than apply into the LCM equation.

GCF(8888,8895) = 1
LCM(8888,8895) = ( 8888 × 8895) / 1
LCM(8888,8895) = 79058760 / 1
LCM(8888,8895) = 79058760

Properties of LCM 8888 and 8895

(i) The LCM of 8895 and 8888 is associative

LCM of 8888 and 8895 = LCM of 8895 and 8888

Related Least Common Multiples of 8888

Related Least Common Multiples of 8895

Frequently Asked Questions on LCM of 8888 and 8895

1. What is the LCM of 8888 and 8895?

Answer: LCM of 8888 and 8895 is 79058760.

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 8895?

Answer: Factors of 8895 are 1, 3, 5, 15, 593, 1779, 2965, 8895. There are 8 integers that are factors of 8895. The greatest factor of 8895 is 8895.

4. How to Find the LCM of 8888 and 8895?

Answer:

Least Common Multiple of 8888 and 8895 = 79058760

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 8895

8895 = 3 x 5 x 593

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

LCM = 79058760 = 2 x 2 x 2 x 3 x 5 x 11 x 101 x 593

Step 4: Therefore, the least common multiple of 8888 and 8895 is 79058760.