Least Common Multiple of 6780 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 6780 and 6787 the smallest integer that is 46015860 that is divisible by both numbers.

Least Common Multiple (LCM) of 6780 and 6787 is 46015860.

LCM(6780,6787) = 46015860

LCM of 6780 and 6787

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

LCM of:
and

Least Common Multiple of 6780 and 6787

LCM of 6780 and 6787 is 46015860

Least common multiple can be found by multiplying the highest exponent prime factors of 6780 and 6787. First we will calculate the prime factors of 6780 and 6787.

Prime Factorization of 6780


2 6780
2 3390
3 1695
5 565
113 113
1

Prime factors of 6780 are 2, 3, 5,113. Prime factorization of 6780 in exponential form is:

6780 = 22×31×51×1131

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 6780 and 6787.

LCM(6780,6787) = 22×31×51×111×1131×6171
LCM(6780,6787) = 46015860

Factors of 6780

List of positive integer factors of 6780 that divides 6780 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780

Factors of 6787

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

1, 11, 617, 6787

Least Common Multiple of 6780 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 6780 and 6787, than apply into the LCM equation.

GCF(6780,6787) = 1
LCM(6780,6787) = ( 6780 × 6787) / 1
LCM(6780,6787) = 46015860 / 1
LCM(6780,6787) = 46015860

Properties of LCM 6780 and 6787

(i) The LCM of 6787 and 6780 is associative

LCM of 6780 and 6787 = LCM of 6787 and 6780

Related Least Common Multiples of 6780

Related Least Common Multiples of 6787

Frequently Asked Questions on LCM of 6780 and 6787

1. What is the LCM of 6780 and 6787?

Answer: LCM of 6780 and 6787 is 46015860.

2. What are the Factors of 6780?

Answer: Factors of 6780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780. There are 24 integers that are factors of 6780. The greatest factor of 6780 is 6780.

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 6780 and 6787?

Answer:

Least Common Multiple of 6780 and 6787 = 46015860

Step 1: Find the prime factorization of 6780

6780 = 2 x 2 x 3 x 5 x 113

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 = 46015860 = 2 x 2 x 3 x 5 x 11 x 113 x 617

Step 4: Therefore, the least common multiple of 6780 and 6787 is 46015860.