Least Common Multiple of 6870 and 6873

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 6873 the smallest integer that is 15739170 that is divisible by both numbers.

Least Common Multiple (LCM) of 6870 and 6873 is 15739170.

LCM(6870,6873) = 15739170

LCM of 6870 and 6873

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

LCM of:
and

Least Common Multiple of 6870 and 6873

LCM of 6870 and 6873 is 15739170

Least common multiple can be found by multiplying the highest exponent prime factors of 6870 and 6873. First we will calculate the prime factors of 6870 and 6873.

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 6873


3 6873
29 2291
79 79
1

Prime factors of 6873 are 3, 29,79. Prime factorization of 6873 in exponential form is:

6873 = 31×291×791

Now multiplying the highest exponent prime factors to calculate the LCM of 6870 and 6873.

LCM(6870,6873) = 21×31×51×291×791×2291
LCM(6870,6873) = 15739170

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 6873

List of positive integer factors of 6873 that divides 6873 without a remainder.

1, 3, 29, 79, 87, 237, 2291, 6873

Least Common Multiple of 6870 and 6873 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 6873, than apply into the LCM equation.

GCF(6870,6873) = 3
LCM(6870,6873) = ( 6870 × 6873) / 3
LCM(6870,6873) = 47217510 / 3
LCM(6870,6873) = 15739170

Properties of LCM 6870 and 6873

(i) The LCM of 6873 and 6870 is associative

LCM of 6870 and 6873 = LCM of 6873 and 6870

Related Least Common Multiples of 6870

Related Least Common Multiples of 6873

Frequently Asked Questions on LCM of 6870 and 6873

1. What is the LCM of 6870 and 6873?

Answer: LCM of 6870 and 6873 is 15739170.

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 6873?

Answer: Factors of 6873 are 1, 3, 29, 79, 87, 237, 2291, 6873. There are 8 integers that are factors of 6873. The greatest factor of 6873 is 6873.

4. How to Find the LCM of 6870 and 6873?

Answer:

Least Common Multiple of 6870 and 6873 = 15739170

Step 1: Find the prime factorization of 6870

6870 = 2 x 3 x 5 x 229

Step 2: Find the prime factorization of 6873

6873 = 3 x 29 x 79

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

LCM = 15739170 = 2 x 3 x 5 x 29 x 79 x 229

Step 4: Therefore, the least common multiple of 6870 and 6873 is 15739170.