Least Common Multiple of 6849 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 6849 and 6856 the smallest integer that is 46956744 that is divisible by both numbers.

Least Common Multiple (LCM) of 6849 and 6856 is 46956744.

LCM(6849,6856) = 46956744

LCM of 6849 and 6856

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

LCM of:
and

Least Common Multiple of 6849 and 6856

LCM of 6849 and 6856 is 46956744

Least common multiple can be found by multiplying the highest exponent prime factors of 6849 and 6856. First we will calculate the prime factors of 6849 and 6856.

Prime Factorization of 6849


3 6849
3 2283
761 761
1

Prime factors of 6849 are 3,761. Prime factorization of 6849 in exponential form is:

6849 = 32×7611

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 6849 and 6856.

LCM(6849,6856) = 23×32×7611×8571
LCM(6849,6856) = 46956744

Factors of 6849

List of positive integer factors of 6849 that divides 6849 without a remainder.

1, 3, 9, 761, 2283, 6849

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 6849 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 6849 and 6856, than apply into the LCM equation.

GCF(6849,6856) = 1
LCM(6849,6856) = ( 6849 × 6856) / 1
LCM(6849,6856) = 46956744 / 1
LCM(6849,6856) = 46956744

Properties of LCM 6849 and 6856

(i) The LCM of 6856 and 6849 is associative

LCM of 6849 and 6856 = LCM of 6856 and 6849

Related Least Common Multiples of 6849

Related Least Common Multiples of 6856

Frequently Asked Questions on LCM of 6849 and 6856

1. What is the LCM of 6849 and 6856?

Answer: LCM of 6849 and 6856 is 46956744.

2. What are the Factors of 6849?

Answer: Factors of 6849 are 1, 3, 9, 761, 2283, 6849. There are 6 integers that are factors of 6849. The greatest factor of 6849 is 6849.

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 6849 and 6856?

Answer:

Least Common Multiple of 6849 and 6856 = 46956744

Step 1: Find the prime factorization of 6849

6849 = 3 x 3 x 761

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 = 46956744 = 2 x 2 x 2 x 3 x 3 x 761 x 857

Step 4: Therefore, the least common multiple of 6849 and 6856 is 46956744.