Least Common Multiple of 6819 and 6823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6819 and 6823 the smallest integer that is 46526037 that is divisible by both numbers.

Least Common Multiple (LCM) of 6819 and 6823 is 46526037.

LCM(6819,6823) = 46526037

LCM of 6819 and 6823

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

LCM of:
and

Least Common Multiple of 6819 and 6823

LCM of 6819 and 6823 is 46526037

Least common multiple can be found by multiplying the highest exponent prime factors of 6819 and 6823. First we will calculate the prime factors of 6819 and 6823.

Prime Factorization of 6819


3 6819
2273 2273
1

Prime factors of 6819 are 3,2273. Prime factorization of 6819 in exponential form is:

6819 = 31×22731

Prime Factorization of 6823


6823 6823
1

Prime factors of 6823 are 6823. Prime factorization of 6823 in exponential form is:

6823 = 68231

Now multiplying the highest exponent prime factors to calculate the LCM of 6819 and 6823.

LCM(6819,6823) = 31×22731×68231
LCM(6819,6823) = 46526037

Factors of 6819

List of positive integer factors of 6819 that divides 6819 without a remainder.

1, 3, 2273, 6819

Factors of 6823

List of positive integer factors of 6823 that divides 6823 without a remainder.

1, 6823

Least Common Multiple of 6819 and 6823 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6819 and 6823, than apply into the LCM equation.

GCF(6819,6823) = 1
LCM(6819,6823) = ( 6819 × 6823) / 1
LCM(6819,6823) = 46526037 / 1
LCM(6819,6823) = 46526037

Properties of LCM 6819 and 6823

(i) The LCM of 6823 and 6819 is associative

LCM of 6819 and 6823 = LCM of 6823 and 6819

Related Least Common Multiples of 6819

Related Least Common Multiples of 6823

Frequently Asked Questions on LCM of 6819 and 6823

1. What is the LCM of 6819 and 6823?

Answer: LCM of 6819 and 6823 is 46526037.

2. What are the Factors of 6819?

Answer: Factors of 6819 are 1, 3, 2273, 6819. There are 4 integers that are factors of 6819. The greatest factor of 6819 is 6819.

3. What are the Factors of 6823?

Answer: Factors of 6823 are 1, 6823. There are 2 integers that are factors of 6823. The greatest factor of 6823 is 6823.

4. How to Find the LCM of 6819 and 6823?

Answer:

Least Common Multiple of 6819 and 6823 = 46526037

Step 1: Find the prime factorization of 6819

6819 = 3 x 2273

Step 2: Find the prime factorization of 6823

6823 = 6823

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

LCM = 46526037 = 3 x 2273 x 6823

Step 4: Therefore, the least common multiple of 6819 and 6823 is 46526037.