Least Common Multiple of 6776 and 6782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6776 and 6782 the smallest integer that is 22977416 that is divisible by both numbers.

Least Common Multiple (LCM) of 6776 and 6782 is 22977416.

LCM(6776,6782) = 22977416

LCM of 6776 and 6782

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

LCM of:
and

Least Common Multiple of 6776 and 6782

LCM of 6776 and 6782 is 22977416

Least common multiple can be found by multiplying the highest exponent prime factors of 6776 and 6782. First we will calculate the prime factors of 6776 and 6782.

Prime Factorization of 6776


2 6776
2 3388
2 1694
7 847
11 121
11 11
1

Prime factors of 6776 are 2, 7,11. Prime factorization of 6776 in exponential form is:

6776 = 23×71×112

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6776 and 6782.

LCM(6776,6782) = 23×71×112×33911
LCM(6776,6782) = 22977416

Factors of 6776

List of positive integer factors of 6776 that divides 6776 without a remainder.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 121, 154, 242, 308, 484, 616, 847, 968, 1694, 3388, 6776

Factors of 6782

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

1, 2, 3391, 6782

Least Common Multiple of 6776 and 6782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6776 and 6782, than apply into the LCM equation.

GCF(6776,6782) = 2
LCM(6776,6782) = ( 6776 × 6782) / 2
LCM(6776,6782) = 45954832 / 2
LCM(6776,6782) = 22977416

Properties of LCM 6776 and 6782

(i) The LCM of 6782 and 6776 is associative

LCM of 6776 and 6782 = LCM of 6782 and 6776

Related Least Common Multiples of 6776

Related Least Common Multiples of 6782

Frequently Asked Questions on LCM of 6776 and 6782

1. What is the LCM of 6776 and 6782?

Answer: LCM of 6776 and 6782 is 22977416.

2. What are the Factors of 6776?

Answer: Factors of 6776 are 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 121, 154, 242, 308, 484, 616, 847, 968, 1694, 3388, 6776. There are 24 integers that are factors of 6776. The greatest factor of 6776 is 6776.

3. 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.

4. How to Find the LCM of 6776 and 6782?

Answer:

Least Common Multiple of 6776 and 6782 = 22977416

Step 1: Find the prime factorization of 6776

6776 = 2 x 2 x 2 x 7 x 11 x 11

Step 2: Find the prime factorization of 6782

6782 = 2 x 3391

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

LCM = 22977416 = 2 x 2 x 2 x 7 x 11 x 11 x 3391

Step 4: Therefore, the least common multiple of 6776 and 6782 is 22977416.