Least Common Multiple of 6803 and 6807

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6803 and 6807 the smallest integer that is 46308021 that is divisible by both numbers.

Least Common Multiple (LCM) of 6803 and 6807 is 46308021.

LCM(6803,6807) = 46308021

LCM of 6803 and 6807

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

LCM of:
and

Least Common Multiple of 6803 and 6807

LCM of 6803 and 6807 is 46308021

Least common multiple can be found by multiplying the highest exponent prime factors of 6803 and 6807. First we will calculate the prime factors of 6803 and 6807.

Prime Factorization of 6803


6803 6803
1

Prime factors of 6803 are 6803. Prime factorization of 6803 in exponential form is:

6803 = 68031

Prime Factorization of 6807


3 6807
2269 2269
1

Prime factors of 6807 are 3,2269. Prime factorization of 6807 in exponential form is:

6807 = 31×22691

Now multiplying the highest exponent prime factors to calculate the LCM of 6803 and 6807.

LCM(6803,6807) = 31×22691×68031
LCM(6803,6807) = 46308021

Factors of 6803

List of positive integer factors of 6803 that divides 6803 without a remainder.

1, 6803

Factors of 6807

List of positive integer factors of 6807 that divides 6807 without a remainder.

1, 3, 2269, 6807

Least Common Multiple of 6803 and 6807 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6803 and 6807, than apply into the LCM equation.

GCF(6803,6807) = 1
LCM(6803,6807) = ( 6803 × 6807) / 1
LCM(6803,6807) = 46308021 / 1
LCM(6803,6807) = 46308021

Properties of LCM 6803 and 6807

(i) The LCM of 6807 and 6803 is associative

LCM of 6803 and 6807 = LCM of 6807 and 6803

Related Least Common Multiples of 6803

Related Least Common Multiples of 6807

Frequently Asked Questions on LCM of 6803 and 6807

1. What is the LCM of 6803 and 6807?

Answer: LCM of 6803 and 6807 is 46308021.

2. What are the Factors of 6803?

Answer: Factors of 6803 are 1, 6803. There are 2 integers that are factors of 6803. The greatest factor of 6803 is 6803.

3. What are the Factors of 6807?

Answer: Factors of 6807 are 1, 3, 2269, 6807. There are 4 integers that are factors of 6807. The greatest factor of 6807 is 6807.

4. How to Find the LCM of 6803 and 6807?

Answer:

Least Common Multiple of 6803 and 6807 = 46308021

Step 1: Find the prime factorization of 6803

6803 = 6803

Step 2: Find the prime factorization of 6807

6807 = 3 x 2269

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

LCM = 46308021 = 3 x 2269 x 6803

Step 4: Therefore, the least common multiple of 6803 and 6807 is 46308021.