Least Common Multiple of 6838 and 6843

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6838 and 6843 the smallest integer that is 46792434 that is divisible by both numbers.

Least Common Multiple (LCM) of 6838 and 6843 is 46792434.

LCM(6838,6843) = 46792434

LCM of 6838 and 6843

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

LCM of:
and

Least Common Multiple of 6838 and 6843

LCM of 6838 and 6843 is 46792434

Least common multiple can be found by multiplying the highest exponent prime factors of 6838 and 6843. First we will calculate the prime factors of 6838 and 6843.

Prime Factorization of 6838


2 6838
13 3419
263 263
1

Prime factors of 6838 are 2, 13,263. Prime factorization of 6838 in exponential form is:

6838 = 21×131×2631

Prime Factorization of 6843


3 6843
2281 2281
1

Prime factors of 6843 are 3,2281. Prime factorization of 6843 in exponential form is:

6843 = 31×22811

Now multiplying the highest exponent prime factors to calculate the LCM of 6838 and 6843.

LCM(6838,6843) = 21×31×131×2631×22811
LCM(6838,6843) = 46792434

Factors of 6838

List of positive integer factors of 6838 that divides 6838 without a remainder.

1, 2, 13, 26, 263, 526, 3419, 6838

Factors of 6843

List of positive integer factors of 6843 that divides 6843 without a remainder.

1, 3, 2281, 6843

Least Common Multiple of 6838 and 6843 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6838 and 6843, than apply into the LCM equation.

GCF(6838,6843) = 1
LCM(6838,6843) = ( 6838 × 6843) / 1
LCM(6838,6843) = 46792434 / 1
LCM(6838,6843) = 46792434

Properties of LCM 6838 and 6843

(i) The LCM of 6843 and 6838 is associative

LCM of 6838 and 6843 = LCM of 6843 and 6838

Related Least Common Multiples of 6838

Related Least Common Multiples of 6843

Frequently Asked Questions on LCM of 6838 and 6843

1. What is the LCM of 6838 and 6843?

Answer: LCM of 6838 and 6843 is 46792434.

2. What are the Factors of 6838?

Answer: Factors of 6838 are 1, 2, 13, 26, 263, 526, 3419, 6838. There are 8 integers that are factors of 6838. The greatest factor of 6838 is 6838.

3. What are the Factors of 6843?

Answer: Factors of 6843 are 1, 3, 2281, 6843. There are 4 integers that are factors of 6843. The greatest factor of 6843 is 6843.

4. How to Find the LCM of 6838 and 6843?

Answer:

Least Common Multiple of 6838 and 6843 = 46792434

Step 1: Find the prime factorization of 6838

6838 = 2 x 13 x 263

Step 2: Find the prime factorization of 6843

6843 = 3 x 2281

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

LCM = 46792434 = 2 x 3 x 13 x 263 x 2281

Step 4: Therefore, the least common multiple of 6838 and 6843 is 46792434.