Least Common Multiple of 6787 and 6793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6787 and 6793 the smallest integer that is 46104091 that is divisible by both numbers.

Least Common Multiple (LCM) of 6787 and 6793 is 46104091.

LCM(6787,6793) = 46104091

LCM of 6787 and 6793

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

LCM of:
and

Least Common Multiple of 6787 and 6793

LCM of 6787 and 6793 is 46104091

Least common multiple can be found by multiplying the highest exponent prime factors of 6787 and 6793. First we will calculate the prime factors of 6787 and 6793.

Prime Factorization of 6787


11 6787
617 617
1

Prime factors of 6787 are 11,617. Prime factorization of 6787 in exponential form is:

6787 = 111×6171

Prime Factorization of 6793


6793 6793
1

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

6793 = 67931

Now multiplying the highest exponent prime factors to calculate the LCM of 6787 and 6793.

LCM(6787,6793) = 111×6171×67931
LCM(6787,6793) = 46104091

Factors of 6787

List of positive integer factors of 6787 that divides 6787 without a remainder.

1, 11, 617, 6787

Factors of 6793

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

1, 6793

Least Common Multiple of 6787 and 6793 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6787 and 6793, than apply into the LCM equation.

GCF(6787,6793) = 1
LCM(6787,6793) = ( 6787 × 6793) / 1
LCM(6787,6793) = 46104091 / 1
LCM(6787,6793) = 46104091

Properties of LCM 6787 and 6793

(i) The LCM of 6793 and 6787 is associative

LCM of 6787 and 6793 = LCM of 6793 and 6787

Related Least Common Multiples of 6787

Related Least Common Multiples of 6793

Frequently Asked Questions on LCM of 6787 and 6793

1. What is the LCM of 6787 and 6793?

Answer: LCM of 6787 and 6793 is 46104091.

2. What are the Factors of 6787?

Answer: Factors of 6787 are 1, 11, 617, 6787. There are 4 integers that are factors of 6787. The greatest factor of 6787 is 6787.

3. 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.

4. How to Find the LCM of 6787 and 6793?

Answer:

Least Common Multiple of 6787 and 6793 = 46104091

Step 1: Find the prime factorization of 6787

6787 = 11 x 617

Step 2: Find the prime factorization of 6793

6793 = 6793

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

LCM = 46104091 = 11 x 617 x 6793

Step 4: Therefore, the least common multiple of 6787 and 6793 is 46104091.