Least Common Multiple of 6793 and 6801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6793 and 6801 the smallest integer that is 46199193 that is divisible by both numbers.

Least Common Multiple (LCM) of 6793 and 6801 is 46199193.

LCM(6793,6801) = 46199193

LCM of 6793 and 6801

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

LCM of:
and

Least Common Multiple of 6793 and 6801

LCM of 6793 and 6801 is 46199193

Least common multiple can be found by multiplying the highest exponent prime factors of 6793 and 6801. First we will calculate the prime factors of 6793 and 6801.

Prime Factorization of 6793


6793 6793
1

Prime factors of 6793 are 6793. Prime factorization of 6793 in exponential form is:

6793 = 67931

Prime Factorization of 6801


3 6801
2267 2267
1

Prime factors of 6801 are 3,2267. Prime factorization of 6801 in exponential form is:

6801 = 31×22671

Now multiplying the highest exponent prime factors to calculate the LCM of 6793 and 6801.

LCM(6793,6801) = 31×22671×67931
LCM(6793,6801) = 46199193

Factors of 6793

List of positive integer factors of 6793 that divides 6793 without a remainder.

1, 6793

Factors of 6801

List of positive integer factors of 6801 that divides 6801 without a remainder.

1, 3, 2267, 6801

Least Common Multiple of 6793 and 6801 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6793 and 6801, than apply into the LCM equation.

GCF(6793,6801) = 1
LCM(6793,6801) = ( 6793 × 6801) / 1
LCM(6793,6801) = 46199193 / 1
LCM(6793,6801) = 46199193

Properties of LCM 6793 and 6801

(i) The LCM of 6801 and 6793 is associative

LCM of 6793 and 6801 = LCM of 6801 and 6793

Related Least Common Multiples of 6793

Related Least Common Multiples of 6801

Frequently Asked Questions on LCM of 6793 and 6801

1. What is the LCM of 6793 and 6801?

Answer: LCM of 6793 and 6801 is 46199193.

2. What are the Factors of 6793?

Answer: Factors of 6793 are 1, 6793. There are 2 integers that are factors of 6793. The greatest factor of 6793 is 6793.

3. What are the Factors of 6801?

Answer: Factors of 6801 are 1, 3, 2267, 6801. There are 4 integers that are factors of 6801. The greatest factor of 6801 is 6801.

4. How to Find the LCM of 6793 and 6801?

Answer:

Least Common Multiple of 6793 and 6801 = 46199193

Step 1: Find the prime factorization of 6793

6793 = 6793

Step 2: Find the prime factorization of 6801

6801 = 3 x 2267

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

LCM = 46199193 = 3 x 2267 x 6793

Step 4: Therefore, the least common multiple of 6793 and 6801 is 46199193.