Least Common Multiple of 6870 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 6870 and 6875 the smallest integer that is 9446250 that is divisible by both numbers.

Least Common Multiple (LCM) of 6870 and 6875 is 9446250.

LCM(6870,6875) = 9446250

LCM of 6870 and 6875

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

LCM of:
and

Least Common Multiple of 6870 and 6875

LCM of 6870 and 6875 is 9446250

Least common multiple can be found by multiplying the highest exponent prime factors of 6870 and 6875. First we will calculate the prime factors of 6870 and 6875.

Prime Factorization of 6870


2 6870
3 3435
5 1145
229 229
1

Prime factors of 6870 are 2, 3, 5,229. Prime factorization of 6870 in exponential form is:

6870 = 21×31×51×2291

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 6870 and 6875.

LCM(6870,6875) = 21×31×54×111×2291
LCM(6870,6875) = 9446250

Factors of 6870

List of positive integer factors of 6870 that divides 6870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435, 6870

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 6870 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 6870 and 6875, than apply into the LCM equation.

GCF(6870,6875) = 5
LCM(6870,6875) = ( 6870 × 6875) / 5
LCM(6870,6875) = 47231250 / 5
LCM(6870,6875) = 9446250

Properties of LCM 6870 and 6875

(i) The LCM of 6875 and 6870 is associative

LCM of 6870 and 6875 = LCM of 6875 and 6870

Related Least Common Multiples of 6870

Related Least Common Multiples of 6875

Frequently Asked Questions on LCM of 6870 and 6875

1. What is the LCM of 6870 and 6875?

Answer: LCM of 6870 and 6875 is 9446250.

2. What are the Factors of 6870?

Answer: Factors of 6870 are 1, 2, 3, 5, 6, 10, 15, 30, 229, 458, 687, 1145, 1374, 2290, 3435, 6870. There are 16 integers that are factors of 6870. The greatest factor of 6870 is 6870.

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 6870 and 6875?

Answer:

Least Common Multiple of 6870 and 6875 = 9446250

Step 1: Find the prime factorization of 6870

6870 = 2 x 3 x 5 x 229

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 = 9446250 = 2 x 3 x 5 x 5 x 5 x 5 x 11 x 229

Step 4: Therefore, the least common multiple of 6870 and 6875 is 9446250.