Least Common Multiple of 6802 and 6808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6802 and 6808 the smallest integer that is 23154008 that is divisible by both numbers.

Least Common Multiple (LCM) of 6802 and 6808 is 23154008.

LCM(6802,6808) = 23154008

LCM of 6802 and 6808

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

LCM of:
and

Least Common Multiple of 6802 and 6808

LCM of 6802 and 6808 is 23154008

Least common multiple can be found by multiplying the highest exponent prime factors of 6802 and 6808. First we will calculate the prime factors of 6802 and 6808.

Prime Factorization of 6802


2 6802
19 3401
179 179
1

Prime factors of 6802 are 2, 19,179. Prime factorization of 6802 in exponential form is:

6802 = 21×191×1791

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6802 and 6808.

LCM(6802,6808) = 23×191×231×371×1791
LCM(6802,6808) = 23154008

Factors of 6802

List of positive integer factors of 6802 that divides 6802 without a remainder.

1, 2, 19, 38, 179, 358, 3401, 6802

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

Least Common Multiple of 6802 and 6808 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6802 and 6808, than apply into the LCM equation.

GCF(6802,6808) = 2
LCM(6802,6808) = ( 6802 × 6808) / 2
LCM(6802,6808) = 46308016 / 2
LCM(6802,6808) = 23154008

Properties of LCM 6802 and 6808

(i) The LCM of 6808 and 6802 is associative

LCM of 6802 and 6808 = LCM of 6808 and 6802

Related Least Common Multiples of 6802

Related Least Common Multiples of 6808

Frequently Asked Questions on LCM of 6802 and 6808

1. What is the LCM of 6802 and 6808?

Answer: LCM of 6802 and 6808 is 23154008.

2. What are the Factors of 6802?

Answer: Factors of 6802 are 1, 2, 19, 38, 179, 358, 3401, 6802. There are 8 integers that are factors of 6802. The greatest factor of 6802 is 6802.

3. 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.

4. How to Find the LCM of 6802 and 6808?

Answer:

Least Common Multiple of 6802 and 6808 = 23154008

Step 1: Find the prime factorization of 6802

6802 = 2 x 19 x 179

Step 2: Find the prime factorization of 6808

6808 = 2 x 2 x 2 x 23 x 37

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

LCM = 23154008 = 2 x 2 x 2 x 19 x 23 x 37 x 179

Step 4: Therefore, the least common multiple of 6802 and 6808 is 23154008.