Least Common Multiple of 6800 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 6800 and 6806 the smallest integer that is 23140400 that is divisible by both numbers.

Least Common Multiple (LCM) of 6800 and 6806 is 23140400.

LCM(6800,6806) = 23140400

LCM of 6800 and 6806

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

LCM of:
and

Least Common Multiple of 6800 and 6806

LCM of 6800 and 6806 is 23140400

Least common multiple can be found by multiplying the highest exponent prime factors of 6800 and 6806. First we will calculate the prime factors of 6800 and 6806.

Prime Factorization of 6800


2 6800
2 3400
2 1700
2 850
5 425
5 85
17 17
1

Prime factors of 6800 are 2, 5,17. Prime factorization of 6800 in exponential form is:

6800 = 24×52×171

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 6800 and 6806.

LCM(6800,6806) = 24×52×171×411×831
LCM(6800,6806) = 23140400

Factors of 6800

List of positive integer factors of 6800 that divides 6800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800

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 6800 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 6800 and 6806, than apply into the LCM equation.

GCF(6800,6806) = 2
LCM(6800,6806) = ( 6800 × 6806) / 2
LCM(6800,6806) = 46280800 / 2
LCM(6800,6806) = 23140400

Properties of LCM 6800 and 6806

(i) The LCM of 6806 and 6800 is associative

LCM of 6800 and 6806 = LCM of 6806 and 6800

Related Least Common Multiples of 6800

Related Least Common Multiples of 6806

Frequently Asked Questions on LCM of 6800 and 6806

1. What is the LCM of 6800 and 6806?

Answer: LCM of 6800 and 6806 is 23140400.

2. What are the Factors of 6800?

Answer: Factors of 6800 are 1, 2, 4, 5, 8, 10, 16, 17, 20, 25, 34, 40, 50, 68, 80, 85, 100, 136, 170, 200, 272, 340, 400, 425, 680, 850, 1360, 1700, 3400, 6800. There are 30 integers that are factors of 6800. The greatest factor of 6800 is 6800.

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 6800 and 6806?

Answer:

Least Common Multiple of 6800 and 6806 = 23140400

Step 1: Find the prime factorization of 6800

6800 = 2 x 2 x 2 x 2 x 5 x 5 x 17

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 = 23140400 = 2 x 2 x 2 x 2 x 5 x 5 x 17 x 41 x 83

Step 4: Therefore, the least common multiple of 6800 and 6806 is 23140400.