Least Common Multiple of 8870 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 8870 and 8875 the smallest integer that is 15744250 that is divisible by both numbers.

Least Common Multiple (LCM) of 8870 and 8875 is 15744250.

LCM(8870,8875) = 15744250

LCM of 8870 and 8875

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

LCM of:
and

Least Common Multiple of 8870 and 8875

LCM of 8870 and 8875 is 15744250

Least common multiple can be found by multiplying the highest exponent prime factors of 8870 and 8875. First we will calculate the prime factors of 8870 and 8875.

Prime Factorization of 8870


2 8870
5 4435
887 887
1

Prime factors of 8870 are 2, 5,887. Prime factorization of 8870 in exponential form is:

8870 = 21×51×8871

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 8870 and 8875.

LCM(8870,8875) = 21×53×711×8871
LCM(8870,8875) = 15744250

Factors of 8870

List of positive integer factors of 8870 that divides 8870 without a remainder.

1, 2, 5, 10, 887, 1774, 4435, 8870

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 8870 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 8870 and 8875, than apply into the LCM equation.

GCF(8870,8875) = 5
LCM(8870,8875) = ( 8870 × 8875) / 5
LCM(8870,8875) = 78721250 / 5
LCM(8870,8875) = 15744250

Properties of LCM 8870 and 8875

(i) The LCM of 8875 and 8870 is associative

LCM of 8870 and 8875 = LCM of 8875 and 8870

Related Least Common Multiples of 8870

Related Least Common Multiples of 8875

Frequently Asked Questions on LCM of 8870 and 8875

1. What is the LCM of 8870 and 8875?

Answer: LCM of 8870 and 8875 is 15744250.

2. What are the Factors of 8870?

Answer: Factors of 8870 are 1, 2, 5, 10, 887, 1774, 4435, 8870. There are 8 integers that are factors of 8870. The greatest factor of 8870 is 8870.

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 8870 and 8875?

Answer:

Least Common Multiple of 8870 and 8875 = 15744250

Step 1: Find the prime factorization of 8870

8870 = 2 x 5 x 887

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 = 15744250 = 2 x 5 x 5 x 5 x 71 x 887

Step 4: Therefore, the least common multiple of 8870 and 8875 is 15744250.