Least Common Multiple of 6855 and 6858

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 6858 the smallest integer that is 15670530 that is divisible by both numbers.

Least Common Multiple (LCM) of 6855 and 6858 is 15670530.

LCM(6855,6858) = 15670530

LCM of 6855 and 6858

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

LCM of:
and

Least Common Multiple of 6855 and 6858

LCM of 6855 and 6858 is 15670530

Least common multiple can be found by multiplying the highest exponent prime factors of 6855 and 6858. First we will calculate the prime factors of 6855 and 6858.

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 6858


2 6858
3 3429
3 1143
3 381
127 127
1

Prime factors of 6858 are 2, 3,127. Prime factorization of 6858 in exponential form is:

6858 = 21×33×1271

Now multiplying the highest exponent prime factors to calculate the LCM of 6855 and 6858.

LCM(6855,6858) = 21×33×51×1271×4571
LCM(6855,6858) = 15670530

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 6858

List of positive integer factors of 6858 that divides 6858 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 127, 254, 381, 762, 1143, 2286, 3429, 6858

Least Common Multiple of 6855 and 6858 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 6858, than apply into the LCM equation.

GCF(6855,6858) = 3
LCM(6855,6858) = ( 6855 × 6858) / 3
LCM(6855,6858) = 47011590 / 3
LCM(6855,6858) = 15670530

Properties of LCM 6855 and 6858

(i) The LCM of 6858 and 6855 is associative

LCM of 6855 and 6858 = LCM of 6858 and 6855

Related Least Common Multiples of 6855

Related Least Common Multiples of 6858

Frequently Asked Questions on LCM of 6855 and 6858

1. What is the LCM of 6855 and 6858?

Answer: LCM of 6855 and 6858 is 15670530.

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 6858?

Answer: Factors of 6858 are 1, 2, 3, 6, 9, 18, 27, 54, 127, 254, 381, 762, 1143, 2286, 3429, 6858. There are 16 integers that are factors of 6858. The greatest factor of 6858 is 6858.

4. How to Find the LCM of 6855 and 6858?

Answer:

Least Common Multiple of 6855 and 6858 = 15670530

Step 1: Find the prime factorization of 6855

6855 = 3 x 5 x 457

Step 2: Find the prime factorization of 6858

6858 = 2 x 3 x 3 x 3 x 127

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

LCM = 15670530 = 2 x 3 x 3 x 3 x 5 x 127 x 457

Step 4: Therefore, the least common multiple of 6855 and 6858 is 15670530.