Least Common Multiple of 8872 and 8878

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8872 and 8878 the smallest integer that is 39382808 that is divisible by both numbers.

Least Common Multiple (LCM) of 8872 and 8878 is 39382808.

LCM(8872,8878) = 39382808

LCM of 8872 and 8878

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

LCM of:
and

Least Common Multiple of 8872 and 8878

LCM of 8872 and 8878 is 39382808

Least common multiple can be found by multiplying the highest exponent prime factors of 8872 and 8878. First we will calculate the prime factors of 8872 and 8878.

Prime Factorization of 8872


2 8872
2 4436
2 2218
1109 1109
1

Prime factors of 8872 are 2,1109. Prime factorization of 8872 in exponential form is:

8872 = 23×11091

Prime Factorization of 8878


2 8878
23 4439
193 193
1

Prime factors of 8878 are 2, 23,193. Prime factorization of 8878 in exponential form is:

8878 = 21×231×1931

Now multiplying the highest exponent prime factors to calculate the LCM of 8872 and 8878.

LCM(8872,8878) = 23×231×1931×11091
LCM(8872,8878) = 39382808

Factors of 8872

List of positive integer factors of 8872 that divides 8872 without a remainder.

1, 2, 4, 8, 1109, 2218, 4436, 8872

Factors of 8878

List of positive integer factors of 8878 that divides 8878 without a remainder.

1, 2, 23, 46, 193, 386, 4439, 8878

Least Common Multiple of 8872 and 8878 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8872 and 8878, than apply into the LCM equation.

GCF(8872,8878) = 2
LCM(8872,8878) = ( 8872 × 8878) / 2
LCM(8872,8878) = 78765616 / 2
LCM(8872,8878) = 39382808

Properties of LCM 8872 and 8878

(i) The LCM of 8878 and 8872 is associative

LCM of 8872 and 8878 = LCM of 8878 and 8872

Related Least Common Multiples of 8872

Related Least Common Multiples of 8878

Frequently Asked Questions on LCM of 8872 and 8878

1. What is the LCM of 8872 and 8878?

Answer: LCM of 8872 and 8878 is 39382808.

2. What are the Factors of 8872?

Answer: Factors of 8872 are 1, 2, 4, 8, 1109, 2218, 4436, 8872. There are 8 integers that are factors of 8872. The greatest factor of 8872 is 8872.

3. What are the Factors of 8878?

Answer: Factors of 8878 are 1, 2, 23, 46, 193, 386, 4439, 8878. There are 8 integers that are factors of 8878. The greatest factor of 8878 is 8878.

4. How to Find the LCM of 8872 and 8878?

Answer:

Least Common Multiple of 8872 and 8878 = 39382808

Step 1: Find the prime factorization of 8872

8872 = 2 x 2 x 2 x 1109

Step 2: Find the prime factorization of 8878

8878 = 2 x 23 x 193

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

LCM = 39382808 = 2 x 2 x 2 x 23 x 193 x 1109

Step 4: Therefore, the least common multiple of 8872 and 8878 is 39382808.