Least Common Multiple of 868 and 875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 868 and 875 the smallest integer that is 108500 that is divisible by both numbers.

Least Common Multiple (LCM) of 868 and 875 is 108500.

LCM(868,875) = 108500

LCM of 868 and 875

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

LCM of:
and

Least Common Multiple of 868 and 875

LCM of 868 and 875 is 108500

Least common multiple can be found by multiplying the highest exponent prime factors of 868 and 875. First we will calculate the prime factors of 868 and 875.

Prime Factorization of 868


2 868
2 434
7 217
31 31
1

Prime factors of 868 are 2, 7,31. Prime factorization of 868 in exponential form is:

868 = 22×71×311

Prime Factorization of 875


5 875
5 175
5 35
7 7
1

Prime factors of 875 are 5,7. Prime factorization of 875 in exponential form is:

875 = 53×71

Now multiplying the highest exponent prime factors to calculate the LCM of 868 and 875.

LCM(868,875) = 22×53×71×311
LCM(868,875) = 108500

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1, 5, 7, 25, 35, 125, 175, 875

Least Common Multiple of 868 and 875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 868 and 875, than apply into the LCM equation.

GCF(868,875) = 7
LCM(868,875) = ( 868 × 875) / 7
LCM(868,875) = 759500 / 7
LCM(868,875) = 108500

Properties of LCM 868 and 875

(i) The LCM of 875 and 868 is associative

LCM of 868 and 875 = LCM of 875 and 868

Related Least Common Multiples of 868

Related Least Common Multiples of 875

Frequently Asked Questions on LCM of 868 and 875

1. What is the LCM of 868 and 875?

Answer: LCM of 868 and 875 is 108500.

2. What are the Factors of 868?

Answer: Factors of 868 are 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868. There are 12 integers that are factors of 868. The greatest factor of 868 is 868.

3. What are the Factors of 875?

Answer: Factors of 875 are 1, 5, 7, 25, 35, 125, 175, 875. There are 8 integers that are factors of 875. The greatest factor of 875 is 875.

4. How to Find the LCM of 868 and 875?

Answer:

Least Common Multiple of 868 and 875 = 108500

Step 1: Find the prime factorization of 868

868 = 2 x 2 x 7 x 31

Step 2: Find the prime factorization of 875

875 = 5 x 5 x 5 x 7

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

LCM = 108500 = 2 x 2 x 5 x 5 x 5 x 7 x 31

Step 4: Therefore, the least common multiple of 868 and 875 is 108500.