Least Common Multiple of 6815 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 6815 and 6819 the smallest integer that is 46471485 that is divisible by both numbers.

Least Common Multiple (LCM) of 6815 and 6819 is 46471485.

LCM(6815,6819) = 46471485

LCM of 6815 and 6819

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

LCM of:
and

Least Common Multiple of 6815 and 6819

LCM of 6815 and 6819 is 46471485

Least common multiple can be found by multiplying the highest exponent prime factors of 6815 and 6819. First we will calculate the prime factors of 6815 and 6819.

Prime Factorization of 6815


5 6815
29 1363
47 47
1

Prime factors of 6815 are 5, 29,47. Prime factorization of 6815 in exponential form is:

6815 = 51×291×471

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 6815 and 6819.

LCM(6815,6819) = 31×51×291×471×22731
LCM(6815,6819) = 46471485

Factors of 6815

List of positive integer factors of 6815 that divides 6815 without a remainder.

1, 5, 29, 47, 145, 235, 1363, 6815

Factors of 6819

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

1, 3, 2273, 6819

Least Common Multiple of 6815 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 6815 and 6819, than apply into the LCM equation.

GCF(6815,6819) = 1
LCM(6815,6819) = ( 6815 × 6819) / 1
LCM(6815,6819) = 46471485 / 1
LCM(6815,6819) = 46471485

Properties of LCM 6815 and 6819

(i) The LCM of 6819 and 6815 is associative

LCM of 6815 and 6819 = LCM of 6819 and 6815

Related Least Common Multiples of 6815

Related Least Common Multiples of 6819

Frequently Asked Questions on LCM of 6815 and 6819

1. What is the LCM of 6815 and 6819?

Answer: LCM of 6815 and 6819 is 46471485.

2. What are the Factors of 6815?

Answer: Factors of 6815 are 1, 5, 29, 47, 145, 235, 1363, 6815. There are 8 integers that are factors of 6815. The greatest factor of 6815 is 6815.

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 6815 and 6819?

Answer:

Least Common Multiple of 6815 and 6819 = 46471485

Step 1: Find the prime factorization of 6815

6815 = 5 x 29 x 47

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 = 46471485 = 3 x 5 x 29 x 47 x 2273

Step 4: Therefore, the least common multiple of 6815 and 6819 is 46471485.