Least Common Multiple of 6867 and 6875

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6867 and 6875 the smallest integer that is 47210625 that is divisible by both numbers.

Least Common Multiple (LCM) of 6867 and 6875 is 47210625.

LCM(6867,6875) = 47210625

LCM of 6867 and 6875

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

LCM of:
and

Least Common Multiple of 6867 and 6875

LCM of 6867 and 6875 is 47210625

Least common multiple can be found by multiplying the highest exponent prime factors of 6867 and 6875. First we will calculate the prime factors of 6867 and 6875.

Prime Factorization of 6867


3 6867
3 2289
7 763
109 109
1

Prime factors of 6867 are 3, 7,109. Prime factorization of 6867 in exponential form is:

6867 = 32×71×1091

Prime Factorization of 6875


5 6875
5 1375
5 275
5 55
11 11
1

Prime factors of 6875 are 5,11. Prime factorization of 6875 in exponential form is:

6875 = 54×111

Now multiplying the highest exponent prime factors to calculate the LCM of 6867 and 6875.

LCM(6867,6875) = 32×54×71×111×1091
LCM(6867,6875) = 47210625

Factors of 6867

List of positive integer factors of 6867 that divides 6867 without a remainder.

1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867

Factors of 6875

List of positive integer factors of 6875 that divides 6875 without a remainder.

1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875

Least Common Multiple of 6867 and 6875 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6867 and 6875, than apply into the LCM equation.

GCF(6867,6875) = 1
LCM(6867,6875) = ( 6867 × 6875) / 1
LCM(6867,6875) = 47210625 / 1
LCM(6867,6875) = 47210625

Properties of LCM 6867 and 6875

(i) The LCM of 6875 and 6867 is associative

LCM of 6867 and 6875 = LCM of 6875 and 6867

Related Least Common Multiples of 6867

Related Least Common Multiples of 6875

Frequently Asked Questions on LCM of 6867 and 6875

1. What is the LCM of 6867 and 6875?

Answer: LCM of 6867 and 6875 is 47210625.

2. What are the Factors of 6867?

Answer: Factors of 6867 are 1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867. There are 12 integers that are factors of 6867. The greatest factor of 6867 is 6867.

3. What are the Factors of 6875?

Answer: Factors of 6875 are 1, 5, 11, 25, 55, 125, 275, 625, 1375, 6875. There are 10 integers that are factors of 6875. The greatest factor of 6875 is 6875.

4. How to Find the LCM of 6867 and 6875?

Answer:

Least Common Multiple of 6867 and 6875 = 47210625

Step 1: Find the prime factorization of 6867

6867 = 3 x 3 x 7 x 109

Step 2: Find the prime factorization of 6875

6875 = 5 x 5 x 5 x 5 x 11

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

LCM = 47210625 = 3 x 3 x 5 x 5 x 5 x 5 x 7 x 11 x 109

Step 4: Therefore, the least common multiple of 6867 and 6875 is 47210625.