Least Common Multiple of 6842 and 6849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6842 and 6849 the smallest integer that is 46860858 that is divisible by both numbers.

Least Common Multiple (LCM) of 6842 and 6849 is 46860858.

LCM(6842,6849) = 46860858

LCM of 6842 and 6849

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

LCM of:
and

Least Common Multiple of 6842 and 6849

LCM of 6842 and 6849 is 46860858

Least common multiple can be found by multiplying the highest exponent prime factors of 6842 and 6849. First we will calculate the prime factors of 6842 and 6849.

Prime Factorization of 6842


2 6842
11 3421
311 311
1

Prime factors of 6842 are 2, 11,311. Prime factorization of 6842 in exponential form is:

6842 = 21×111×3111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6842 and 6849.

LCM(6842,6849) = 21×32×111×3111×7611
LCM(6842,6849) = 46860858

Factors of 6842

List of positive integer factors of 6842 that divides 6842 without a remainder.

1, 2, 11, 22, 311, 622, 3421, 6842

Factors of 6849

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

1, 3, 9, 761, 2283, 6849

Least Common Multiple of 6842 and 6849 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6842 and 6849, than apply into the LCM equation.

GCF(6842,6849) = 1
LCM(6842,6849) = ( 6842 × 6849) / 1
LCM(6842,6849) = 46860858 / 1
LCM(6842,6849) = 46860858

Properties of LCM 6842 and 6849

(i) The LCM of 6849 and 6842 is associative

LCM of 6842 and 6849 = LCM of 6849 and 6842

Related Least Common Multiples of 6842

Related Least Common Multiples of 6849

Frequently Asked Questions on LCM of 6842 and 6849

1. What is the LCM of 6842 and 6849?

Answer: LCM of 6842 and 6849 is 46860858.

2. What are the Factors of 6842?

Answer: Factors of 6842 are 1, 2, 11, 22, 311, 622, 3421, 6842. There are 8 integers that are factors of 6842. The greatest factor of 6842 is 6842.

3. 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.

4. How to Find the LCM of 6842 and 6849?

Answer:

Least Common Multiple of 6842 and 6849 = 46860858

Step 1: Find the prime factorization of 6842

6842 = 2 x 11 x 311

Step 2: Find the prime factorization of 6849

6849 = 3 x 3 x 761

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

LCM = 46860858 = 2 x 3 x 3 x 11 x 311 x 761

Step 4: Therefore, the least common multiple of 6842 and 6849 is 46860858.