Least Common Multiple of 6808 and 6815

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6808 and 6815 the smallest integer that is 46396520 that is divisible by both numbers.

Least Common Multiple (LCM) of 6808 and 6815 is 46396520.

LCM(6808,6815) = 46396520

LCM of 6808 and 6815

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

LCM of:
and

Least Common Multiple of 6808 and 6815

LCM of 6808 and 6815 is 46396520

Least common multiple can be found by multiplying the highest exponent prime factors of 6808 and 6815. First we will calculate the prime factors of 6808 and 6815.

Prime Factorization of 6808


2 6808
2 3404
2 1702
23 851
37 37
1

Prime factors of 6808 are 2, 23,37. Prime factorization of 6808 in exponential form is:

6808 = 23×231×371

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6808 and 6815.

LCM(6808,6815) = 23×51×231×291×371×471
LCM(6808,6815) = 46396520

Factors of 6808

List of positive integer factors of 6808 that divides 6808 without a remainder.

1, 2, 4, 8, 23, 37, 46, 74, 92, 148, 184, 296, 851, 1702, 3404, 6808

Factors of 6815

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

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

Least Common Multiple of 6808 and 6815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6808 and 6815, than apply into the LCM equation.

GCF(6808,6815) = 1
LCM(6808,6815) = ( 6808 × 6815) / 1
LCM(6808,6815) = 46396520 / 1
LCM(6808,6815) = 46396520

Properties of LCM 6808 and 6815

(i) The LCM of 6815 and 6808 is associative

LCM of 6808 and 6815 = LCM of 6815 and 6808

Related Least Common Multiples of 6808

Related Least Common Multiples of 6815

Frequently Asked Questions on LCM of 6808 and 6815

1. What is the LCM of 6808 and 6815?

Answer: LCM of 6808 and 6815 is 46396520.

2. What are the Factors of 6808?

Answer: Factors of 6808 are 1, 2, 4, 8, 23, 37, 46, 74, 92, 148, 184, 296, 851, 1702, 3404, 6808. There are 16 integers that are factors of 6808. The greatest factor of 6808 is 6808.

3. 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.

4. How to Find the LCM of 6808 and 6815?

Answer:

Least Common Multiple of 6808 and 6815 = 46396520

Step 1: Find the prime factorization of 6808

6808 = 2 x 2 x 2 x 23 x 37

Step 2: Find the prime factorization of 6815

6815 = 5 x 29 x 47

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

LCM = 46396520 = 2 x 2 x 2 x 5 x 23 x 29 x 37 x 47

Step 4: Therefore, the least common multiple of 6808 and 6815 is 46396520.