Least Common Multiple of 6856 and 6862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6856 and 6862 the smallest integer that is 23522936 that is divisible by both numbers.

Least Common Multiple (LCM) of 6856 and 6862 is 23522936.

LCM(6856,6862) = 23522936

LCM of 6856 and 6862

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

LCM of:
and

Least Common Multiple of 6856 and 6862

LCM of 6856 and 6862 is 23522936

Least common multiple can be found by multiplying the highest exponent prime factors of 6856 and 6862. First we will calculate the prime factors of 6856 and 6862.

Prime Factorization of 6856


2 6856
2 3428
2 1714
857 857
1

Prime factors of 6856 are 2,857. Prime factorization of 6856 in exponential form is:

6856 = 23×8571

Prime Factorization of 6862


2 6862
47 3431
73 73
1

Prime factors of 6862 are 2, 47,73. Prime factorization of 6862 in exponential form is:

6862 = 21×471×731

Now multiplying the highest exponent prime factors to calculate the LCM of 6856 and 6862.

LCM(6856,6862) = 23×471×731×8571
LCM(6856,6862) = 23522936

Factors of 6856

List of positive integer factors of 6856 that divides 6856 without a remainder.

1, 2, 4, 8, 857, 1714, 3428, 6856

Factors of 6862

List of positive integer factors of 6862 that divides 6862 without a remainder.

1, 2, 47, 73, 94, 146, 3431, 6862

Least Common Multiple of 6856 and 6862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6856 and 6862, than apply into the LCM equation.

GCF(6856,6862) = 2
LCM(6856,6862) = ( 6856 × 6862) / 2
LCM(6856,6862) = 47045872 / 2
LCM(6856,6862) = 23522936

Properties of LCM 6856 and 6862

(i) The LCM of 6862 and 6856 is associative

LCM of 6856 and 6862 = LCM of 6862 and 6856

Related Least Common Multiples of 6856

Related Least Common Multiples of 6862

Frequently Asked Questions on LCM of 6856 and 6862

1. What is the LCM of 6856 and 6862?

Answer: LCM of 6856 and 6862 is 23522936.

2. What are the Factors of 6856?

Answer: Factors of 6856 are 1, 2, 4, 8, 857, 1714, 3428, 6856. There are 8 integers that are factors of 6856. The greatest factor of 6856 is 6856.

3. What are the Factors of 6862?

Answer: Factors of 6862 are 1, 2, 47, 73, 94, 146, 3431, 6862. There are 8 integers that are factors of 6862. The greatest factor of 6862 is 6862.

4. How to Find the LCM of 6856 and 6862?

Answer:

Least Common Multiple of 6856 and 6862 = 23522936

Step 1: Find the prime factorization of 6856

6856 = 2 x 2 x 2 x 857

Step 2: Find the prime factorization of 6862

6862 = 2 x 47 x 73

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

LCM = 23522936 = 2 x 2 x 2 x 47 x 73 x 857

Step 4: Therefore, the least common multiple of 6856 and 6862 is 23522936.