Least Common Multiple of 6800 and 6805

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 6805 the smallest integer that is 9254800 that is divisible by both numbers.

Least Common Multiple (LCM) of 6800 and 6805 is 9254800.

LCM(6800,6805) = 9254800

LCM of 6800 and 6805

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

LCM of:
and

Least Common Multiple of 6800 and 6805

LCM of 6800 and 6805 is 9254800

Least common multiple can be found by multiplying the highest exponent prime factors of 6800 and 6805. First we will calculate the prime factors of 6800 and 6805.

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 6805


5 6805
1361 1361
1

Prime factors of 6805 are 5,1361. Prime factorization of 6805 in exponential form is:

6805 = 51×13611

Now multiplying the highest exponent prime factors to calculate the LCM of 6800 and 6805.

LCM(6800,6805) = 24×52×171×13611
LCM(6800,6805) = 9254800

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 6805

List of positive integer factors of 6805 that divides 6805 without a remainder.

1, 5, 1361, 6805

Least Common Multiple of 6800 and 6805 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 6805, than apply into the LCM equation.

GCF(6800,6805) = 5
LCM(6800,6805) = ( 6800 × 6805) / 5
LCM(6800,6805) = 46274000 / 5
LCM(6800,6805) = 9254800

Properties of LCM 6800 and 6805

(i) The LCM of 6805 and 6800 is associative

LCM of 6800 and 6805 = LCM of 6805 and 6800

Related Least Common Multiples of 6800

Related Least Common Multiples of 6805

Frequently Asked Questions on LCM of 6800 and 6805

1. What is the LCM of 6800 and 6805?

Answer: LCM of 6800 and 6805 is 9254800.

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 6805?

Answer: Factors of 6805 are 1, 5, 1361, 6805. There are 4 integers that are factors of 6805. The greatest factor of 6805 is 6805.

4. How to Find the LCM of 6800 and 6805?

Answer:

Least Common Multiple of 6800 and 6805 = 9254800

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 6805

6805 = 5 x 1361

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

LCM = 9254800 = 2 x 2 x 2 x 2 x 5 x 5 x 17 x 1361

Step 4: Therefore, the least common multiple of 6800 and 6805 is 9254800.