Least Common Multiple of 875 and 878

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 878 the smallest integer that is 768250 that is divisible by both numbers.

Least Common Multiple (LCM) of 875 and 878 is 768250.

LCM(875,878) = 768250

LCM of 875 and 878

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

LCM of:
and

Least Common Multiple of 875 and 878

LCM of 875 and 878 is 768250

Least common multiple can be found by multiplying the highest exponent prime factors of 875 and 878. First we will calculate the prime factors of 875 and 878.

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 878


2 878
439 439
1

Prime factors of 878 are 2,439. Prime factorization of 878 in exponential form is:

878 = 21×4391

Now multiplying the highest exponent prime factors to calculate the LCM of 875 and 878.

LCM(875,878) = 21×53×71×4391
LCM(875,878) = 768250

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 878

List of positive integer factors of 878 that divides 878 without a remainder.

1, 2, 439, 878

Least Common Multiple of 875 and 878 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 878, than apply into the LCM equation.

GCF(875,878) = 1
LCM(875,878) = ( 875 × 878) / 1
LCM(875,878) = 768250 / 1
LCM(875,878) = 768250

Properties of LCM 875 and 878

(i) The LCM of 878 and 875 is associative

LCM of 875 and 878 = LCM of 878 and 875

Related Least Common Multiples of 875

Related Least Common Multiples of 878

Frequently Asked Questions on LCM of 875 and 878

1. What is the LCM of 875 and 878?

Answer: LCM of 875 and 878 is 768250.

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 878?

Answer: Factors of 878 are 1, 2, 439, 878. There are 4 integers that are factors of 878. The greatest factor of 878 is 878.

4. How to Find the LCM of 875 and 878?

Answer:

Least Common Multiple of 875 and 878 = 768250

Step 1: Find the prime factorization of 875

875 = 5 x 5 x 5 x 7

Step 2: Find the prime factorization of 878

878 = 2 x 439

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

LCM = 768250 = 2 x 5 x 5 x 5 x 7 x 439

Step 4: Therefore, the least common multiple of 875 and 878 is 768250.