Least Common Multiple of 6851 and 6854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6851 and 6854 the smallest integer that is 46956754 that is divisible by both numbers.

Least Common Multiple (LCM) of 6851 and 6854 is 46956754.

LCM(6851,6854) = 46956754

LCM of 6851 and 6854

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

LCM of:
and

Least Common Multiple of 6851 and 6854

LCM of 6851 and 6854 is 46956754

Least common multiple can be found by multiplying the highest exponent prime factors of 6851 and 6854. First we will calculate the prime factors of 6851 and 6854.

Prime Factorization of 6851


13 6851
17 527
31 31
1

Prime factors of 6851 are 13, 17,31. Prime factorization of 6851 in exponential form is:

6851 = 131×171×311

Prime Factorization of 6854


2 6854
23 3427
149 149
1

Prime factors of 6854 are 2, 23,149. Prime factorization of 6854 in exponential form is:

6854 = 21×231×1491

Now multiplying the highest exponent prime factors to calculate the LCM of 6851 and 6854.

LCM(6851,6854) = 21×131×171×231×311×1491
LCM(6851,6854) = 46956754

Factors of 6851

List of positive integer factors of 6851 that divides 6851 without a remainder.

1, 13, 17, 31, 221, 403, 527, 6851

Factors of 6854

List of positive integer factors of 6854 that divides 6854 without a remainder.

1, 2, 23, 46, 149, 298, 3427, 6854

Least Common Multiple of 6851 and 6854 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6851 and 6854, than apply into the LCM equation.

GCF(6851,6854) = 1
LCM(6851,6854) = ( 6851 × 6854) / 1
LCM(6851,6854) = 46956754 / 1
LCM(6851,6854) = 46956754

Properties of LCM 6851 and 6854

(i) The LCM of 6854 and 6851 is associative

LCM of 6851 and 6854 = LCM of 6854 and 6851

Related Least Common Multiples of 6851

Related Least Common Multiples of 6854

Frequently Asked Questions on LCM of 6851 and 6854

1. What is the LCM of 6851 and 6854?

Answer: LCM of 6851 and 6854 is 46956754.

2. What are the Factors of 6851?

Answer: Factors of 6851 are 1, 13, 17, 31, 221, 403, 527, 6851. There are 8 integers that are factors of 6851. The greatest factor of 6851 is 6851.

3. What are the Factors of 6854?

Answer: Factors of 6854 are 1, 2, 23, 46, 149, 298, 3427, 6854. There are 8 integers that are factors of 6854. The greatest factor of 6854 is 6854.

4. How to Find the LCM of 6851 and 6854?

Answer:

Least Common Multiple of 6851 and 6854 = 46956754

Step 1: Find the prime factorization of 6851

6851 = 13 x 17 x 31

Step 2: Find the prime factorization of 6854

6854 = 2 x 23 x 149

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

LCM = 46956754 = 2 x 13 x 17 x 23 x 31 x 149

Step 4: Therefore, the least common multiple of 6851 and 6854 is 46956754.