Least Common Multiple of 875 and 877

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 877 the smallest integer that is 767375 that is divisible by both numbers.

Least Common Multiple (LCM) of 875 and 877 is 767375.

LCM(875,877) = 767375

LCM of 875 and 877

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

LCM of:
and

Least Common Multiple of 875 and 877

LCM of 875 and 877 is 767375

Least common multiple can be found by multiplying the highest exponent prime factors of 875 and 877. First we will calculate the prime factors of 875 and 877.

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 877


877 877
1

Prime factors of 877 are 877. Prime factorization of 877 in exponential form is:

877 = 8771

Now multiplying the highest exponent prime factors to calculate the LCM of 875 and 877.

LCM(875,877) = 53×71×8771
LCM(875,877) = 767375

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 877

List of positive integer factors of 877 that divides 877 without a remainder.

1, 877

Least Common Multiple of 875 and 877 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 877, than apply into the LCM equation.

GCF(875,877) = 1
LCM(875,877) = ( 875 × 877) / 1
LCM(875,877) = 767375 / 1
LCM(875,877) = 767375

Properties of LCM 875 and 877

(i) The LCM of 877 and 875 is associative

LCM of 875 and 877 = LCM of 877 and 875

Related Least Common Multiples of 875

Related Least Common Multiples of 877

Frequently Asked Questions on LCM of 875 and 877

1. What is the LCM of 875 and 877?

Answer: LCM of 875 and 877 is 767375.

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 877?

Answer: Factors of 877 are 1, 877. There are 2 integers that are factors of 877. The greatest factor of 877 is 877.

4. How to Find the LCM of 875 and 877?

Answer:

Least Common Multiple of 875 and 877 = 767375

Step 1: Find the prime factorization of 875

875 = 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 877

877 = 877

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

LCM = 767375 = 5 x 5 x 5 x 7 x 877

Step 4: Therefore, the least common multiple of 875 and 877 is 767375.