Least Common Multiple of 8867 and 8875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 8867 and 8875 the smallest integer that is 78694625 that is divisible by both numbers.

Least Common Multiple (LCM) of 8867 and 8875 is 78694625.

LCM(8867,8875) = 78694625

LCM of 8867 and 8875

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

LCM of:
and

Least Common Multiple of 8867 and 8875

LCM of 8867 and 8875 is 78694625

Least common multiple can be found by multiplying the highest exponent prime factors of 8867 and 8875. First we will calculate the prime factors of 8867 and 8875.

Prime Factorization of 8867


8867 8867
1

Prime factors of 8867 are 8867. Prime factorization of 8867 in exponential form is:

8867 = 88671

Prime Factorization of 8875


5 8875
5 1775
5 355
71 71
1

Prime factors of 8875 are 5,71. Prime factorization of 8875 in exponential form is:

8875 = 53×711

Now multiplying the highest exponent prime factors to calculate the LCM of 8867 and 8875.

LCM(8867,8875) = 53×711×88671
LCM(8867,8875) = 78694625

Factors of 8867

List of positive integer factors of 8867 that divides 8867 without a remainder.

1, 8867

Factors of 8875

List of positive integer factors of 8875 that divides 8875 without a remainder.

1, 5, 25, 71, 125, 355, 1775, 8875

Least Common Multiple of 8867 and 8875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8867 and 8875, than apply into the LCM equation.

GCF(8867,8875) = 1
LCM(8867,8875) = ( 8867 × 8875) / 1
LCM(8867,8875) = 78694625 / 1
LCM(8867,8875) = 78694625

Properties of LCM 8867 and 8875

(i) The LCM of 8875 and 8867 is associative

LCM of 8867 and 8875 = LCM of 8875 and 8867

Related Least Common Multiples of 8867

Related Least Common Multiples of 8875

Frequently Asked Questions on LCM of 8867 and 8875

1. What is the LCM of 8867 and 8875?

Answer: LCM of 8867 and 8875 is 78694625.

2. What are the Factors of 8867?

Answer: Factors of 8867 are 1, 8867. There are 2 integers that are factors of 8867. The greatest factor of 8867 is 8867.

3. What are the Factors of 8875?

Answer: Factors of 8875 are 1, 5, 25, 71, 125, 355, 1775, 8875. There are 8 integers that are factors of 8875. The greatest factor of 8875 is 8875.

4. How to Find the LCM of 8867 and 8875?

Answer:

Least Common Multiple of 8867 and 8875 = 78694625

Step 1: Find the prime factorization of 8867

8867 = 8867

Step 2: Find the prime factorization of 8875

8875 = 5 x 5 x 5 x 71

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

LCM = 78694625 = 5 x 5 x 5 x 71 x 8867

Step 4: Therefore, the least common multiple of 8867 and 8875 is 78694625.