Least Common Multiple of 8874 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 8874 and 8878 the smallest integer that is 39391686 that is divisible by both numbers.

Least Common Multiple (LCM) of 8874 and 8878 is 39391686.

LCM(8874,8878) = 39391686

LCM of 8874 and 8878

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

LCM of:
and

Least Common Multiple of 8874 and 8878

LCM of 8874 and 8878 is 39391686

Least common multiple can be found by multiplying the highest exponent prime factors of 8874 and 8878. First we will calculate the prime factors of 8874 and 8878.

Prime Factorization of 8874


2 8874
3 4437
3 1479
17 493
29 29
1

Prime factors of 8874 are 2, 3, 17,29. Prime factorization of 8874 in exponential form is:

8874 = 21×32×171×291

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 8874 and 8878.

LCM(8874,8878) = 21×32×171×231×291×1931
LCM(8874,8878) = 39391686

Factors of 8874

List of positive integer factors of 8874 that divides 8874 without a remainder.

1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874

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 8874 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 8874 and 8878, than apply into the LCM equation.

GCF(8874,8878) = 2
LCM(8874,8878) = ( 8874 × 8878) / 2
LCM(8874,8878) = 78783372 / 2
LCM(8874,8878) = 39391686

Properties of LCM 8874 and 8878

(i) The LCM of 8878 and 8874 is associative

LCM of 8874 and 8878 = LCM of 8878 and 8874

Related Least Common Multiples of 8874

Related Least Common Multiples of 8878

Frequently Asked Questions on LCM of 8874 and 8878

1. What is the LCM of 8874 and 8878?

Answer: LCM of 8874 and 8878 is 39391686.

2. What are the Factors of 8874?

Answer: Factors of 8874 are 1, 2, 3, 6, 9, 17, 18, 29, 34, 51, 58, 87, 102, 153, 174, 261, 306, 493, 522, 986, 1479, 2958, 4437, 8874. There are 24 integers that are factors of 8874. The greatest factor of 8874 is 8874.

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 8874 and 8878?

Answer:

Least Common Multiple of 8874 and 8878 = 39391686

Step 1: Find the prime factorization of 8874

8874 = 2 x 3 x 3 x 17 x 29

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 = 39391686 = 2 x 3 x 3 x 17 x 23 x 29 x 193

Step 4: Therefore, the least common multiple of 8874 and 8878 is 39391686.