Least Common Multiple of 6848 and 6856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6848 and 6856 the smallest integer that is 5868736 that is divisible by both numbers.

Least Common Multiple (LCM) of 6848 and 6856 is 5868736.

LCM(6848,6856) = 5868736

LCM of 6848 and 6856

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

LCM of:
and

Least Common Multiple of 6848 and 6856

LCM of 6848 and 6856 is 5868736

Least common multiple can be found by multiplying the highest exponent prime factors of 6848 and 6856. First we will calculate the prime factors of 6848 and 6856.

Prime Factorization of 6848


2 6848
2 3424
2 1712
2 856
2 428
2 214
107 107
1

Prime factors of 6848 are 2,107. Prime factorization of 6848 in exponential form is:

6848 = 26×1071

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6848 and 6856.

LCM(6848,6856) = 26×1071×8571
LCM(6848,6856) = 5868736

Factors of 6848

List of positive integer factors of 6848 that divides 6848 without a remainder.

1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848

Factors of 6856

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

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

Least Common Multiple of 6848 and 6856 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6848 and 6856, than apply into the LCM equation.

GCF(6848,6856) = 8
LCM(6848,6856) = ( 6848 × 6856) / 8
LCM(6848,6856) = 46949888 / 8
LCM(6848,6856) = 5868736

Properties of LCM 6848 and 6856

(i) The LCM of 6856 and 6848 is associative

LCM of 6848 and 6856 = LCM of 6856 and 6848

Related Least Common Multiples of 6848

Related Least Common Multiples of 6856

Frequently Asked Questions on LCM of 6848 and 6856

1. What is the LCM of 6848 and 6856?

Answer: LCM of 6848 and 6856 is 5868736.

2. What are the Factors of 6848?

Answer: Factors of 6848 are 1, 2, 4, 8, 16, 32, 64, 107, 214, 428, 856, 1712, 3424, 6848. There are 14 integers that are factors of 6848. The greatest factor of 6848 is 6848.

3. 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.

4. How to Find the LCM of 6848 and 6856?

Answer:

Least Common Multiple of 6848 and 6856 = 5868736

Step 1: Find the prime factorization of 6848

6848 = 2 x 2 x 2 x 2 x 2 x 2 x 107

Step 2: Find the prime factorization of 6856

6856 = 2 x 2 x 2 x 857

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

LCM = 5868736 = 2 x 2 x 2 x 2 x 2 x 2 x 107 x 857

Step 4: Therefore, the least common multiple of 6848 and 6856 is 5868736.