Least Common Multiple of 875 and 876

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 875 and 876 the smallest integer that is 766500 that is divisible by both numbers.

Least Common Multiple (LCM) of 875 and 876 is 766500.

LCM(875,876) = 766500

LCM of 875 and 876

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

LCM of:
and

Least Common Multiple of 875 and 876

LCM of 875 and 876 is 766500

Least common multiple can be found by multiplying the highest exponent prime factors of 875 and 876. First we will calculate the prime factors of 875 and 876.

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

Prime Factorization of 876


2 876
2 438
3 219
73 73
1

Prime factors of 876 are 2, 3,73. Prime factorization of 876 in exponential form is:

876 = 22×31×731

Now multiplying the highest exponent prime factors to calculate the LCM of 875 and 876.

LCM(875,876) = 22×31×53×71×731
LCM(875,876) = 766500

Factors of 875

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

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

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Least Common Multiple of 875 and 876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 875 and 876, than apply into the LCM equation.

GCF(875,876) = 1
LCM(875,876) = ( 875 × 876) / 1
LCM(875,876) = 766500 / 1
LCM(875,876) = 766500

Properties of LCM 875 and 876

(i) The LCM of 876 and 875 is associative

LCM of 875 and 876 = LCM of 876 and 875

Related Least Common Multiples of 875

Related Least Common Multiples of 876

Frequently Asked Questions on LCM of 875 and 876

1. What is the LCM of 875 and 876?

Answer: LCM of 875 and 876 is 766500.

2. 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.

3. What are the Factors of 876?

Answer: Factors of 876 are 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876. There are 12 integers that are factors of 876. The greatest factor of 876 is 876.

4. How to Find the LCM of 875 and 876?

Answer:

Least Common Multiple of 875 and 876 = 766500

Step 1: Find the prime factorization of 875

875 = 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 876

876 = 2 x 2 x 3 x 73

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

LCM = 766500 = 2 x 2 x 3 x 5 x 5 x 5 x 7 x 73

Step 4: Therefore, the least common multiple of 875 and 876 is 766500.