Least Common Multiple of 8877 and 8884

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 8884 the smallest integer that is 78863268 that is divisible by both numbers.

Least Common Multiple (LCM) of 8877 and 8884 is 78863268.

LCM(8877,8884) = 78863268

LCM of 8877 and 8884

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

LCM of:
and

Least Common Multiple of 8877 and 8884

LCM of 8877 and 8884 is 78863268

Least common multiple can be found by multiplying the highest exponent prime factors of 8877 and 8884. First we will calculate the prime factors of 8877 and 8884.

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 8884


2 8884
2 4442
2221 2221
1

Prime factors of 8884 are 2,2221. Prime factorization of 8884 in exponential form is:

8884 = 22×22211

Now multiplying the highest exponent prime factors to calculate the LCM of 8877 and 8884.

LCM(8877,8884) = 22×31×111×2691×22211
LCM(8877,8884) = 78863268

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 8884

List of positive integer factors of 8884 that divides 8884 without a remainder.

1, 2, 4, 2221, 4442, 8884

Least Common Multiple of 8877 and 8884 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 8884, than apply into the LCM equation.

GCF(8877,8884) = 1
LCM(8877,8884) = ( 8877 × 8884) / 1
LCM(8877,8884) = 78863268 / 1
LCM(8877,8884) = 78863268

Properties of LCM 8877 and 8884

(i) The LCM of 8884 and 8877 is associative

LCM of 8877 and 8884 = LCM of 8884 and 8877

Related Least Common Multiples of 8877

Related Least Common Multiples of 8884

Frequently Asked Questions on LCM of 8877 and 8884

1. What is the LCM of 8877 and 8884?

Answer: LCM of 8877 and 8884 is 78863268.

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 8884?

Answer: Factors of 8884 are 1, 2, 4, 2221, 4442, 8884. There are 6 integers that are factors of 8884. The greatest factor of 8884 is 8884.

4. How to Find the LCM of 8877 and 8884?

Answer:

Least Common Multiple of 8877 and 8884 = 78863268

Step 1: Find the prime factorization of 8877

8877 = 3 x 11 x 269

Step 2: Find the prime factorization of 8884

8884 = 2 x 2 x 2221

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

LCM = 78863268 = 2 x 2 x 3 x 11 x 269 x 2221

Step 4: Therefore, the least common multiple of 8877 and 8884 is 78863268.