Least Common Multiple of 6855 and 6859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6855 and 6859 the smallest integer that is 47018445 that is divisible by both numbers.

Least Common Multiple (LCM) of 6855 and 6859 is 47018445.

LCM(6855,6859) = 47018445

LCM of 6855 and 6859

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

LCM of:
and

Least Common Multiple of 6855 and 6859

LCM of 6855 and 6859 is 47018445

Least common multiple can be found by multiplying the highest exponent prime factors of 6855 and 6859. First we will calculate the prime factors of 6855 and 6859.

Prime Factorization of 6855


3 6855
5 2285
457 457
1

Prime factors of 6855 are 3, 5,457. Prime factorization of 6855 in exponential form is:

6855 = 31×51×4571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6855 and 6859.

LCM(6855,6859) = 31×51×193×4571
LCM(6855,6859) = 47018445

Factors of 6855

List of positive integer factors of 6855 that divides 6855 without a remainder.

1, 3, 5, 15, 457, 1371, 2285, 6855

Factors of 6859

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

1, 19, 361, 6859

Least Common Multiple of 6855 and 6859 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6855 and 6859, than apply into the LCM equation.

GCF(6855,6859) = 1
LCM(6855,6859) = ( 6855 × 6859) / 1
LCM(6855,6859) = 47018445 / 1
LCM(6855,6859) = 47018445

Properties of LCM 6855 and 6859

(i) The LCM of 6859 and 6855 is associative

LCM of 6855 and 6859 = LCM of 6859 and 6855

Related Least Common Multiples of 6855

Related Least Common Multiples of 6859

Frequently Asked Questions on LCM of 6855 and 6859

1. What is the LCM of 6855 and 6859?

Answer: LCM of 6855 and 6859 is 47018445.

2. What are the Factors of 6855?

Answer: Factors of 6855 are 1, 3, 5, 15, 457, 1371, 2285, 6855. There are 8 integers that are factors of 6855. The greatest factor of 6855 is 6855.

3. 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.

4. How to Find the LCM of 6855 and 6859?

Answer:

Least Common Multiple of 6855 and 6859 = 47018445

Step 1: Find the prime factorization of 6855

6855 = 3 x 5 x 457

Step 2: Find the prime factorization of 6859

6859 = 19 x 19 x 19

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

LCM = 47018445 = 3 x 5 x 19 x 19 x 19 x 457

Step 4: Therefore, the least common multiple of 6855 and 6859 is 47018445.