Least Common Multiple of 8872 and 8877

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 8877 the smallest integer that is 78756744 that is divisible by both numbers.

Least Common Multiple (LCM) of 8872 and 8877 is 78756744.

LCM(8872,8877) = 78756744

LCM of 8872 and 8877

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

LCM of:
and

Least Common Multiple of 8872 and 8877

LCM of 8872 and 8877 is 78756744

Least common multiple can be found by multiplying the highest exponent prime factors of 8872 and 8877. First we will calculate the prime factors of 8872 and 8877.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 8872 and 8877.

LCM(8872,8877) = 23×31×111×2691×11091
LCM(8872,8877) = 78756744

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 8877

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

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

Least Common Multiple of 8872 and 8877 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 8877, than apply into the LCM equation.

GCF(8872,8877) = 1
LCM(8872,8877) = ( 8872 × 8877) / 1
LCM(8872,8877) = 78756744 / 1
LCM(8872,8877) = 78756744

Properties of LCM 8872 and 8877

(i) The LCM of 8877 and 8872 is associative

LCM of 8872 and 8877 = LCM of 8877 and 8872

Related Least Common Multiples of 8872

Related Least Common Multiples of 8877

Frequently Asked Questions on LCM of 8872 and 8877

1. What is the LCM of 8872 and 8877?

Answer: LCM of 8872 and 8877 is 78756744.

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 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.

4. How to Find the LCM of 8872 and 8877?

Answer:

Least Common Multiple of 8872 and 8877 = 78756744

Step 1: Find the prime factorization of 8872

8872 = 2 x 2 x 2 x 1109

Step 2: Find the prime factorization of 8877

8877 = 3 x 11 x 269

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

LCM = 78756744 = 2 x 2 x 2 x 3 x 11 x 269 x 1109

Step 4: Therefore, the least common multiple of 8872 and 8877 is 78756744.