Least Common Multiple of 867 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 867 and 875 the smallest integer that is 758625 that is divisible by both numbers.

Least Common Multiple (LCM) of 867 and 875 is 758625.

LCM(867,875) = 758625

LCM of 867 and 875

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

LCM of:
and

Least Common Multiple of 867 and 875

LCM of 867 and 875 is 758625

Least common multiple can be found by multiplying the highest exponent prime factors of 867 and 875. First we will calculate the prime factors of 867 and 875.

Prime Factorization of 867


3 867
17 289
17 17
1

Prime factors of 867 are 3,17. Prime factorization of 867 in exponential form is:

867 = 31×172

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 867 and 875.

LCM(867,875) = 31×53×71×172
LCM(867,875) = 758625

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

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 867 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 867 and 875, than apply into the LCM equation.

GCF(867,875) = 1
LCM(867,875) = ( 867 × 875) / 1
LCM(867,875) = 758625 / 1
LCM(867,875) = 758625

Properties of LCM 867 and 875

(i) The LCM of 875 and 867 is associative

LCM of 867 and 875 = LCM of 875 and 867

Related Least Common Multiples of 867

Related Least Common Multiples of 875

Frequently Asked Questions on LCM of 867 and 875

1. What is the LCM of 867 and 875?

Answer: LCM of 867 and 875 is 758625.

2. What are the Factors of 867?

Answer: Factors of 867 are 1, 3, 17, 51, 289, 867. There are 6 integers that are factors of 867. The greatest factor of 867 is 867.

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 867 and 875?

Answer:

Least Common Multiple of 867 and 875 = 758625

Step 1: Find the prime factorization of 867

867 = 3 x 17 x 17

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 = 758625 = 3 x 5 x 5 x 5 x 7 x 17 x 17

Step 4: Therefore, the least common multiple of 867 and 875 is 758625.