Least Common Multiple of 8869 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 8869 and 8875 the smallest integer that is 78712375 that is divisible by both numbers.

Least Common Multiple (LCM) of 8869 and 8875 is 78712375.

LCM(8869,8875) = 78712375

LCM of 8869 and 8875

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

LCM of:
and

Least Common Multiple of 8869 and 8875

LCM of 8869 and 8875 is 78712375

Least common multiple can be found by multiplying the highest exponent prime factors of 8869 and 8875. First we will calculate the prime factors of 8869 and 8875.

Prime Factorization of 8869


7 8869
7 1267
181 181
1

Prime factors of 8869 are 7,181. Prime factorization of 8869 in exponential form is:

8869 = 72×1811

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 8869 and 8875.

LCM(8869,8875) = 53×72×711×1811
LCM(8869,8875) = 78712375

Factors of 8869

List of positive integer factors of 8869 that divides 8869 without a remainder.

1, 7, 49, 181, 1267, 8869

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 8869 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 8869 and 8875, than apply into the LCM equation.

GCF(8869,8875) = 1
LCM(8869,8875) = ( 8869 × 8875) / 1
LCM(8869,8875) = 78712375 / 1
LCM(8869,8875) = 78712375

Properties of LCM 8869 and 8875

(i) The LCM of 8875 and 8869 is associative

LCM of 8869 and 8875 = LCM of 8875 and 8869

Related Least Common Multiples of 8869

Related Least Common Multiples of 8875

Frequently Asked Questions on LCM of 8869 and 8875

1. What is the LCM of 8869 and 8875?

Answer: LCM of 8869 and 8875 is 78712375.

2. What are the Factors of 8869?

Answer: Factors of 8869 are 1, 7, 49, 181, 1267, 8869. There are 6 integers that are factors of 8869. The greatest factor of 8869 is 8869.

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 8869 and 8875?

Answer:

Least Common Multiple of 8869 and 8875 = 78712375

Step 1: Find the prime factorization of 8869

8869 = 7 x 7 x 181

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 = 78712375 = 5 x 5 x 5 x 7 x 7 x 71 x 181

Step 4: Therefore, the least common multiple of 8869 and 8875 is 78712375.