Least Common Multiple of 6859 and 6867

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6859 and 6867 the smallest integer that is 47100753 that is divisible by both numbers.

Least Common Multiple (LCM) of 6859 and 6867 is 47100753.

LCM(6859,6867) = 47100753

LCM of 6859 and 6867

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

LCM of:
and

Least Common Multiple of 6859 and 6867

LCM of 6859 and 6867 is 47100753

Least common multiple can be found by multiplying the highest exponent prime factors of 6859 and 6867. First we will calculate the prime factors of 6859 and 6867.

Prime Factorization of 6859


19 6859
19 361
19 19
1

Prime factors of 6859 are 19. Prime factorization of 6859 in exponential form is:

6859 = 193

Prime Factorization of 6867


3 6867
3 2289
7 763
109 109
1

Prime factors of 6867 are 3, 7,109. Prime factorization of 6867 in exponential form is:

6867 = 32×71×1091

Now multiplying the highest exponent prime factors to calculate the LCM of 6859 and 6867.

LCM(6859,6867) = 32×71×193×1091
LCM(6859,6867) = 47100753

Factors of 6859

List of positive integer factors of 6859 that divides 6859 without a remainder.

1, 19, 361, 6859

Factors of 6867

List of positive integer factors of 6867 that divides 6867 without a remainder.

1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867

Least Common Multiple of 6859 and 6867 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6859 and 6867, than apply into the LCM equation.

GCF(6859,6867) = 1
LCM(6859,6867) = ( 6859 × 6867) / 1
LCM(6859,6867) = 47100753 / 1
LCM(6859,6867) = 47100753

Properties of LCM 6859 and 6867

(i) The LCM of 6867 and 6859 is associative

LCM of 6859 and 6867 = LCM of 6867 and 6859

Related Least Common Multiples of 6859

Related Least Common Multiples of 6867

Frequently Asked Questions on LCM of 6859 and 6867

1. What is the LCM of 6859 and 6867?

Answer: LCM of 6859 and 6867 is 47100753.

2. What are the Factors of 6859?

Answer: Factors of 6859 are 1, 19, 361, 6859. There are 4 integers that are factors of 6859. The greatest factor of 6859 is 6859.

3. What are the Factors of 6867?

Answer: Factors of 6867 are 1, 3, 7, 9, 21, 63, 109, 327, 763, 981, 2289, 6867. There are 12 integers that are factors of 6867. The greatest factor of 6867 is 6867.

4. How to Find the LCM of 6859 and 6867?

Answer:

Least Common Multiple of 6859 and 6867 = 47100753

Step 1: Find the prime factorization of 6859

6859 = 19 x 19 x 19

Step 2: Find the prime factorization of 6867

6867 = 3 x 3 x 7 x 109

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

LCM = 47100753 = 3 x 3 x 7 x 19 x 19 x 19 x 109

Step 4: Therefore, the least common multiple of 6859 and 6867 is 47100753.