Least Common Multiple of 6870 and 6877

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 6877 the smallest integer that is 47244990 that is divisible by both numbers.

Least Common Multiple (LCM) of 6870 and 6877 is 47244990.

LCM(6870,6877) = 47244990

LCM of 6870 and 6877

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

LCM of:
and

Least Common Multiple of 6870 and 6877

LCM of 6870 and 6877 is 47244990

Least common multiple can be found by multiplying the highest exponent prime factors of 6870 and 6877. First we will calculate the prime factors of 6870 and 6877.

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 6877


13 6877
23 529
23 23
1

Prime factors of 6877 are 13,23. Prime factorization of 6877 in exponential form is:

6877 = 131×232

Now multiplying the highest exponent prime factors to calculate the LCM of 6870 and 6877.

LCM(6870,6877) = 21×31×51×131×232×2291
LCM(6870,6877) = 47244990

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 6877

List of positive integer factors of 6877 that divides 6877 without a remainder.

1, 13, 23, 299, 529, 6877

Least Common Multiple of 6870 and 6877 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 6877, than apply into the LCM equation.

GCF(6870,6877) = 1
LCM(6870,6877) = ( 6870 × 6877) / 1
LCM(6870,6877) = 47244990 / 1
LCM(6870,6877) = 47244990

Properties of LCM 6870 and 6877

(i) The LCM of 6877 and 6870 is associative

LCM of 6870 and 6877 = LCM of 6877 and 6870

Related Least Common Multiples of 6870

Related Least Common Multiples of 6877

Frequently Asked Questions on LCM of 6870 and 6877

1. What is the LCM of 6870 and 6877?

Answer: LCM of 6870 and 6877 is 47244990.

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 6877?

Answer: Factors of 6877 are 1, 13, 23, 299, 529, 6877. There are 6 integers that are factors of 6877. The greatest factor of 6877 is 6877.

4. How to Find the LCM of 6870 and 6877?

Answer:

Least Common Multiple of 6870 and 6877 = 47244990

Step 1: Find the prime factorization of 6870

6870 = 2 x 3 x 5 x 229

Step 2: Find the prime factorization of 6877

6877 = 13 x 23 x 23

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

LCM = 47244990 = 2 x 3 x 5 x 13 x 23 x 23 x 229

Step 4: Therefore, the least common multiple of 6870 and 6877 is 47244990.