Least Common Multiple of 6870 and 6878

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 6878 the smallest integer that is 23625930 that is divisible by both numbers.

Least Common Multiple (LCM) of 6870 and 6878 is 23625930.

LCM(6870,6878) = 23625930

LCM of 6870 and 6878

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

LCM of:
and

Least Common Multiple of 6870 and 6878

LCM of 6870 and 6878 is 23625930

Least common multiple can be found by multiplying the highest exponent prime factors of 6870 and 6878. First we will calculate the prime factors of 6870 and 6878.

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 6878


2 6878
19 3439
181 181
1

Prime factors of 6878 are 2, 19,181. Prime factorization of 6878 in exponential form is:

6878 = 21×191×1811

Now multiplying the highest exponent prime factors to calculate the LCM of 6870 and 6878.

LCM(6870,6878) = 21×31×51×191×1811×2291
LCM(6870,6878) = 23625930

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 6878

List of positive integer factors of 6878 that divides 6878 without a remainder.

1, 2, 19, 38, 181, 362, 3439, 6878

Least Common Multiple of 6870 and 6878 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 6878, than apply into the LCM equation.

GCF(6870,6878) = 2
LCM(6870,6878) = ( 6870 × 6878) / 2
LCM(6870,6878) = 47251860 / 2
LCM(6870,6878) = 23625930

Properties of LCM 6870 and 6878

(i) The LCM of 6878 and 6870 is associative

LCM of 6870 and 6878 = LCM of 6878 and 6870

Related Least Common Multiples of 6870

Related Least Common Multiples of 6878

Frequently Asked Questions on LCM of 6870 and 6878

1. What is the LCM of 6870 and 6878?

Answer: LCM of 6870 and 6878 is 23625930.

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 6878?

Answer: Factors of 6878 are 1, 2, 19, 38, 181, 362, 3439, 6878. There are 8 integers that are factors of 6878. The greatest factor of 6878 is 6878.

4. How to Find the LCM of 6870 and 6878?

Answer:

Least Common Multiple of 6870 and 6878 = 23625930

Step 1: Find the prime factorization of 6870

6870 = 2 x 3 x 5 x 229

Step 2: Find the prime factorization of 6878

6878 = 2 x 19 x 181

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

LCM = 23625930 = 2 x 3 x 5 x 19 x 181 x 229

Step 4: Therefore, the least common multiple of 6870 and 6878 is 23625930.