Least Common Multiple of 6870 and 6876

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 6876 the smallest integer that is 7873020 that is divisible by both numbers.

Least Common Multiple (LCM) of 6870 and 6876 is 7873020.

LCM(6870,6876) = 7873020

LCM of 6870 and 6876

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

LCM of:
and

Least Common Multiple of 6870 and 6876

LCM of 6870 and 6876 is 7873020

Least common multiple can be found by multiplying the highest exponent prime factors of 6870 and 6876. First we will calculate the prime factors of 6870 and 6876.

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 6876


2 6876
2 3438
3 1719
3 573
191 191
1

Prime factors of 6876 are 2, 3,191. Prime factorization of 6876 in exponential form is:

6876 = 22×32×1911

Now multiplying the highest exponent prime factors to calculate the LCM of 6870 and 6876.

LCM(6870,6876) = 22×32×51×1911×2291
LCM(6870,6876) = 7873020

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 6876

List of positive integer factors of 6876 that divides 6876 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 191, 382, 573, 764, 1146, 1719, 2292, 3438, 6876

Least Common Multiple of 6870 and 6876 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 6876, than apply into the LCM equation.

GCF(6870,6876) = 6
LCM(6870,6876) = ( 6870 × 6876) / 6
LCM(6870,6876) = 47238120 / 6
LCM(6870,6876) = 7873020

Properties of LCM 6870 and 6876

(i) The LCM of 6876 and 6870 is associative

LCM of 6870 and 6876 = LCM of 6876 and 6870

Related Least Common Multiples of 6870

Related Least Common Multiples of 6876

Frequently Asked Questions on LCM of 6870 and 6876

1. What is the LCM of 6870 and 6876?

Answer: LCM of 6870 and 6876 is 7873020.

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 6876?

Answer: Factors of 6876 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 191, 382, 573, 764, 1146, 1719, 2292, 3438, 6876. There are 18 integers that are factors of 6876. The greatest factor of 6876 is 6876.

4. How to Find the LCM of 6870 and 6876?

Answer:

Least Common Multiple of 6870 and 6876 = 7873020

Step 1: Find the prime factorization of 6870

6870 = 2 x 3 x 5 x 229

Step 2: Find the prime factorization of 6876

6876 = 2 x 2 x 3 x 3 x 191

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

LCM = 7873020 = 2 x 2 x 3 x 3 x 5 x 191 x 229

Step 4: Therefore, the least common multiple of 6870 and 6876 is 7873020.