Least Common Multiple of 6802 and 6806

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 6806 the smallest integer that is 23147206 that is divisible by both numbers.

Least Common Multiple (LCM) of 6802 and 6806 is 23147206.

LCM(6802,6806) = 23147206

LCM of 6802 and 6806

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

LCM of:
and

Least Common Multiple of 6802 and 6806

LCM of 6802 and 6806 is 23147206

Least common multiple can be found by multiplying the highest exponent prime factors of 6802 and 6806. First we will calculate the prime factors of 6802 and 6806.

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 6806


2 6806
41 3403
83 83
1

Prime factors of 6806 are 2, 41,83. Prime factorization of 6806 in exponential form is:

6806 = 21×411×831

Now multiplying the highest exponent prime factors to calculate the LCM of 6802 and 6806.

LCM(6802,6806) = 21×191×411×831×1791
LCM(6802,6806) = 23147206

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 6806

List of positive integer factors of 6806 that divides 6806 without a remainder.

1, 2, 41, 82, 83, 166, 3403, 6806

Least Common Multiple of 6802 and 6806 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 6806, than apply into the LCM equation.

GCF(6802,6806) = 2
LCM(6802,6806) = ( 6802 × 6806) / 2
LCM(6802,6806) = 46294412 / 2
LCM(6802,6806) = 23147206

Properties of LCM 6802 and 6806

(i) The LCM of 6806 and 6802 is associative

LCM of 6802 and 6806 = LCM of 6806 and 6802

Related Least Common Multiples of 6802

Related Least Common Multiples of 6806

Frequently Asked Questions on LCM of 6802 and 6806

1. What is the LCM of 6802 and 6806?

Answer: LCM of 6802 and 6806 is 23147206.

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 6806?

Answer: Factors of 6806 are 1, 2, 41, 82, 83, 166, 3403, 6806. There are 8 integers that are factors of 6806. The greatest factor of 6806 is 6806.

4. How to Find the LCM of 6802 and 6806?

Answer:

Least Common Multiple of 6802 and 6806 = 23147206

Step 1: Find the prime factorization of 6802

6802 = 2 x 19 x 179

Step 2: Find the prime factorization of 6806

6806 = 2 x 41 x 83

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

LCM = 23147206 = 2 x 19 x 41 x 83 x 179

Step 4: Therefore, the least common multiple of 6802 and 6806 is 23147206.