Least Common Multiple of 6855 and 6861

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 6861 the smallest integer that is 15677385 that is divisible by both numbers.

Least Common Multiple (LCM) of 6855 and 6861 is 15677385.

LCM(6855,6861) = 15677385

LCM of 6855 and 6861

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

LCM of:
and

Least Common Multiple of 6855 and 6861

LCM of 6855 and 6861 is 15677385

Least common multiple can be found by multiplying the highest exponent prime factors of 6855 and 6861. First we will calculate the prime factors of 6855 and 6861.

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 6861


3 6861
2287 2287
1

Prime factors of 6861 are 3,2287. Prime factorization of 6861 in exponential form is:

6861 = 31×22871

Now multiplying the highest exponent prime factors to calculate the LCM of 6855 and 6861.

LCM(6855,6861) = 31×51×4571×22871
LCM(6855,6861) = 15677385

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 6861

List of positive integer factors of 6861 that divides 6861 without a remainder.

1, 3, 2287, 6861

Least Common Multiple of 6855 and 6861 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 6861, than apply into the LCM equation.

GCF(6855,6861) = 3
LCM(6855,6861) = ( 6855 × 6861) / 3
LCM(6855,6861) = 47032155 / 3
LCM(6855,6861) = 15677385

Properties of LCM 6855 and 6861

(i) The LCM of 6861 and 6855 is associative

LCM of 6855 and 6861 = LCM of 6861 and 6855

Related Least Common Multiples of 6855

Related Least Common Multiples of 6861

Frequently Asked Questions on LCM of 6855 and 6861

1. What is the LCM of 6855 and 6861?

Answer: LCM of 6855 and 6861 is 15677385.

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 6861?

Answer: Factors of 6861 are 1, 3, 2287, 6861. There are 4 integers that are factors of 6861. The greatest factor of 6861 is 6861.

4. How to Find the LCM of 6855 and 6861?

Answer:

Least Common Multiple of 6855 and 6861 = 15677385

Step 1: Find the prime factorization of 6855

6855 = 3 x 5 x 457

Step 2: Find the prime factorization of 6861

6861 = 3 x 2287

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

LCM = 15677385 = 3 x 5 x 457 x 2287

Step 4: Therefore, the least common multiple of 6855 and 6861 is 15677385.