Least Common Multiple of 6775 and 6776

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6775 and 6776 the smallest integer that is 45907400 that is divisible by both numbers.

Least Common Multiple (LCM) of 6775 and 6776 is 45907400.

LCM(6775,6776) = 45907400

LCM of 6775 and 6776

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

LCM of:
and

Least Common Multiple of 6775 and 6776

LCM of 6775 and 6776 is 45907400

Least common multiple can be found by multiplying the highest exponent prime factors of 6775 and 6776. First we will calculate the prime factors of 6775 and 6776.

Prime Factorization of 6775


5 6775
5 1355
271 271
1

Prime factors of 6775 are 5,271. Prime factorization of 6775 in exponential form is:

6775 = 52×2711

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6775 and 6776.

LCM(6775,6776) = 23×52×71×112×2711
LCM(6775,6776) = 45907400

Factors of 6775

List of positive integer factors of 6775 that divides 6775 without a remainder.

1, 5, 25, 271, 1355, 6775

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

Least Common Multiple of 6775 and 6776 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6775 and 6776, than apply into the LCM equation.

GCF(6775,6776) = 1
LCM(6775,6776) = ( 6775 × 6776) / 1
LCM(6775,6776) = 45907400 / 1
LCM(6775,6776) = 45907400

Properties of LCM 6775 and 6776

(i) The LCM of 6776 and 6775 is associative

LCM of 6775 and 6776 = LCM of 6776 and 6775

Related Least Common Multiples of 6775

Related Least Common Multiples of 6776

Frequently Asked Questions on LCM of 6775 and 6776

1. What is the LCM of 6775 and 6776?

Answer: LCM of 6775 and 6776 is 45907400.

2. What are the Factors of 6775?

Answer: Factors of 6775 are 1, 5, 25, 271, 1355, 6775. There are 6 integers that are factors of 6775. The greatest factor of 6775 is 6775.

3. 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.

4. How to Find the LCM of 6775 and 6776?

Answer:

Least Common Multiple of 6775 and 6776 = 45907400

Step 1: Find the prime factorization of 6775

6775 = 5 x 5 x 271

Step 2: Find the prime factorization of 6776

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

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

LCM = 45907400 = 2 x 2 x 2 x 5 x 5 x 7 x 11 x 11 x 271

Step 4: Therefore, the least common multiple of 6775 and 6776 is 45907400.