Least Common Multiple of 8873 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 8873 and 8878 the smallest integer that is 78774494 that is divisible by both numbers.

Least Common Multiple (LCM) of 8873 and 8878 is 78774494.

LCM(8873,8878) = 78774494

LCM of 8873 and 8878

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

LCM of:
and

Least Common Multiple of 8873 and 8878

LCM of 8873 and 8878 is 78774494

Least common multiple can be found by multiplying the highest exponent prime factors of 8873 and 8878. First we will calculate the prime factors of 8873 and 8878.

Prime Factorization of 8873


19 8873
467 467
1

Prime factors of 8873 are 19,467. Prime factorization of 8873 in exponential form is:

8873 = 191×4671

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 8873 and 8878.

LCM(8873,8878) = 21×191×231×1931×4671
LCM(8873,8878) = 78774494

Factors of 8873

List of positive integer factors of 8873 that divides 8873 without a remainder.

1, 19, 467, 8873

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 8873 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 8873 and 8878, than apply into the LCM equation.

GCF(8873,8878) = 1
LCM(8873,8878) = ( 8873 × 8878) / 1
LCM(8873,8878) = 78774494 / 1
LCM(8873,8878) = 78774494

Properties of LCM 8873 and 8878

(i) The LCM of 8878 and 8873 is associative

LCM of 8873 and 8878 = LCM of 8878 and 8873

Related Least Common Multiples of 8873

Related Least Common Multiples of 8878

Frequently Asked Questions on LCM of 8873 and 8878

1. What is the LCM of 8873 and 8878?

Answer: LCM of 8873 and 8878 is 78774494.

2. What are the Factors of 8873?

Answer: Factors of 8873 are 1, 19, 467, 8873. There are 4 integers that are factors of 8873. The greatest factor of 8873 is 8873.

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 8873 and 8878?

Answer:

Least Common Multiple of 8873 and 8878 = 78774494

Step 1: Find the prime factorization of 8873

8873 = 19 x 467

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 = 78774494 = 2 x 19 x 23 x 193 x 467

Step 4: Therefore, the least common multiple of 8873 and 8878 is 78774494.