Least Common Multiple of 6799 and 6803

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6799 and 6803 the smallest integer that is 46253597 that is divisible by both numbers.

Least Common Multiple (LCM) of 6799 and 6803 is 46253597.

LCM(6799,6803) = 46253597

LCM of 6799 and 6803

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

LCM of:
and

Least Common Multiple of 6799 and 6803

LCM of 6799 and 6803 is 46253597

Least common multiple can be found by multiplying the highest exponent prime factors of 6799 and 6803. First we will calculate the prime factors of 6799 and 6803.

Prime Factorization of 6799


13 6799
523 523
1

Prime factors of 6799 are 13,523. Prime factorization of 6799 in exponential form is:

6799 = 131×5231

Prime Factorization of 6803


6803 6803
1

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

6803 = 68031

Now multiplying the highest exponent prime factors to calculate the LCM of 6799 and 6803.

LCM(6799,6803) = 131×5231×68031
LCM(6799,6803) = 46253597

Factors of 6799

List of positive integer factors of 6799 that divides 6799 without a remainder.

1, 13, 523, 6799

Factors of 6803

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

1, 6803

Least Common Multiple of 6799 and 6803 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6799 and 6803, than apply into the LCM equation.

GCF(6799,6803) = 1
LCM(6799,6803) = ( 6799 × 6803) / 1
LCM(6799,6803) = 46253597 / 1
LCM(6799,6803) = 46253597

Properties of LCM 6799 and 6803

(i) The LCM of 6803 and 6799 is associative

LCM of 6799 and 6803 = LCM of 6803 and 6799

Related Least Common Multiples of 6799

Related Least Common Multiples of 6803

Frequently Asked Questions on LCM of 6799 and 6803

1. What is the LCM of 6799 and 6803?

Answer: LCM of 6799 and 6803 is 46253597.

2. What are the Factors of 6799?

Answer: Factors of 6799 are 1, 13, 523, 6799. There are 4 integers that are factors of 6799. The greatest factor of 6799 is 6799.

3. 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.

4. How to Find the LCM of 6799 and 6803?

Answer:

Least Common Multiple of 6799 and 6803 = 46253597

Step 1: Find the prime factorization of 6799

6799 = 13 x 523

Step 2: Find the prime factorization of 6803

6803 = 6803

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

LCM = 46253597 = 13 x 523 x 6803

Step 4: Therefore, the least common multiple of 6799 and 6803 is 46253597.