Least Common Multiple of 6782 and 6787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6782 and 6787 the smallest integer that is 46029434 that is divisible by both numbers.

Least Common Multiple (LCM) of 6782 and 6787 is 46029434.

LCM(6782,6787) = 46029434

LCM of 6782 and 6787

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

LCM of:
and

Least Common Multiple of 6782 and 6787

LCM of 6782 and 6787 is 46029434

Least common multiple can be found by multiplying the highest exponent prime factors of 6782 and 6787. First we will calculate the prime factors of 6782 and 6787.

Prime Factorization of 6782


2 6782
3391 3391
1

Prime factors of 6782 are 2,3391. Prime factorization of 6782 in exponential form is:

6782 = 21×33911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6782 and 6787.

LCM(6782,6787) = 21×111×6171×33911
LCM(6782,6787) = 46029434

Factors of 6782

List of positive integer factors of 6782 that divides 6782 without a remainder.

1, 2, 3391, 6782

Factors of 6787

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

1, 11, 617, 6787

Least Common Multiple of 6782 and 6787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6782 and 6787, than apply into the LCM equation.

GCF(6782,6787) = 1
LCM(6782,6787) = ( 6782 × 6787) / 1
LCM(6782,6787) = 46029434 / 1
LCM(6782,6787) = 46029434

Properties of LCM 6782 and 6787

(i) The LCM of 6787 and 6782 is associative

LCM of 6782 and 6787 = LCM of 6787 and 6782

Related Least Common Multiples of 6782

Related Least Common Multiples of 6787

Frequently Asked Questions on LCM of 6782 and 6787

1. What is the LCM of 6782 and 6787?

Answer: LCM of 6782 and 6787 is 46029434.

2. What are the Factors of 6782?

Answer: Factors of 6782 are 1, 2, 3391, 6782. There are 4 integers that are factors of 6782. The greatest factor of 6782 is 6782.

3. 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.

4. How to Find the LCM of 6782 and 6787?

Answer:

Least Common Multiple of 6782 and 6787 = 46029434

Step 1: Find the prime factorization of 6782

6782 = 2 x 3391

Step 2: Find the prime factorization of 6787

6787 = 11 x 617

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

LCM = 46029434 = 2 x 11 x 617 x 3391

Step 4: Therefore, the least common multiple of 6782 and 6787 is 46029434.