Least Common Multiple of 8877 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 8877 and 8878 the smallest integer that is 78810006 that is divisible by both numbers.

Least Common Multiple (LCM) of 8877 and 8878 is 78810006.

LCM(8877,8878) = 78810006

LCM of 8877 and 8878

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

LCM of:
and

Least Common Multiple of 8877 and 8878

LCM of 8877 and 8878 is 78810006

Least common multiple can be found by multiplying the highest exponent prime factors of 8877 and 8878. First we will calculate the prime factors of 8877 and 8878.

Prime Factorization of 8877


3 8877
11 2959
269 269
1

Prime factors of 8877 are 3, 11,269. Prime factorization of 8877 in exponential form is:

8877 = 31×111×2691

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 8877 and 8878.

LCM(8877,8878) = 21×31×111×231×1931×2691
LCM(8877,8878) = 78810006

Factors of 8877

List of positive integer factors of 8877 that divides 8877 without a remainder.

1, 3, 11, 33, 269, 807, 2959, 8877

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 8877 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 8877 and 8878, than apply into the LCM equation.

GCF(8877,8878) = 1
LCM(8877,8878) = ( 8877 × 8878) / 1
LCM(8877,8878) = 78810006 / 1
LCM(8877,8878) = 78810006

Properties of LCM 8877 and 8878

(i) The LCM of 8878 and 8877 is associative

LCM of 8877 and 8878 = LCM of 8878 and 8877

Related Least Common Multiples of 8877

Related Least Common Multiples of 8878

Frequently Asked Questions on LCM of 8877 and 8878

1. What is the LCM of 8877 and 8878?

Answer: LCM of 8877 and 8878 is 78810006.

2. What are the Factors of 8877?

Answer: Factors of 8877 are 1, 3, 11, 33, 269, 807, 2959, 8877. There are 8 integers that are factors of 8877. The greatest factor of 8877 is 8877.

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 8877 and 8878?

Answer:

Least Common Multiple of 8877 and 8878 = 78810006

Step 1: Find the prime factorization of 8877

8877 = 3 x 11 x 269

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 = 78810006 = 2 x 3 x 11 x 23 x 193 x 269

Step 4: Therefore, the least common multiple of 8877 and 8878 is 78810006.