Least Common Multiple of 6813 and 6819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6813 and 6819 the smallest integer that is 15485949 that is divisible by both numbers.

Least Common Multiple (LCM) of 6813 and 6819 is 15485949.

LCM(6813,6819) = 15485949

LCM of 6813 and 6819

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

LCM of:
and

Least Common Multiple of 6813 and 6819

LCM of 6813 and 6819 is 15485949

Least common multiple can be found by multiplying the highest exponent prime factors of 6813 and 6819. First we will calculate the prime factors of 6813 and 6819.

Prime Factorization of 6813


3 6813
3 2271
757 757
1

Prime factors of 6813 are 3,757. Prime factorization of 6813 in exponential form is:

6813 = 32×7571

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6813 and 6819.

LCM(6813,6819) = 32×7571×22731
LCM(6813,6819) = 15485949

Factors of 6813

List of positive integer factors of 6813 that divides 6813 without a remainder.

1, 3, 9, 757, 2271, 6813

Factors of 6819

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

1, 3, 2273, 6819

Least Common Multiple of 6813 and 6819 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6813 and 6819, than apply into the LCM equation.

GCF(6813,6819) = 3
LCM(6813,6819) = ( 6813 × 6819) / 3
LCM(6813,6819) = 46457847 / 3
LCM(6813,6819) = 15485949

Properties of LCM 6813 and 6819

(i) The LCM of 6819 and 6813 is associative

LCM of 6813 and 6819 = LCM of 6819 and 6813

Related Least Common Multiples of 6813

Related Least Common Multiples of 6819

Frequently Asked Questions on LCM of 6813 and 6819

1. What is the LCM of 6813 and 6819?

Answer: LCM of 6813 and 6819 is 15485949.

2. What are the Factors of 6813?

Answer: Factors of 6813 are 1, 3, 9, 757, 2271, 6813. There are 6 integers that are factors of 6813. The greatest factor of 6813 is 6813.

3. 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.

4. How to Find the LCM of 6813 and 6819?

Answer:

Least Common Multiple of 6813 and 6819 = 15485949

Step 1: Find the prime factorization of 6813

6813 = 3 x 3 x 757

Step 2: Find the prime factorization of 6819

6819 = 3 x 2273

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

LCM = 15485949 = 3 x 3 x 757 x 2273

Step 4: Therefore, the least common multiple of 6813 and 6819 is 15485949.