Least Common Multiple of 6775 and 6780

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 6780 the smallest integer that is 9186900 that is divisible by both numbers.

Least Common Multiple (LCM) of 6775 and 6780 is 9186900.

LCM(6775,6780) = 9186900

LCM of 6775 and 6780

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

LCM of:
and

Least Common Multiple of 6775 and 6780

LCM of 6775 and 6780 is 9186900

Least common multiple can be found by multiplying the highest exponent prime factors of 6775 and 6780. First we will calculate the prime factors of 6775 and 6780.

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 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

Now multiplying the highest exponent prime factors to calculate the LCM of 6775 and 6780.

LCM(6775,6780) = 22×31×52×1131×2711
LCM(6775,6780) = 9186900

Factors of 6775

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

1, 5, 25, 271, 1355, 6775

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

Least Common Multiple of 6775 and 6780 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 6780, than apply into the LCM equation.

GCF(6775,6780) = 5
LCM(6775,6780) = ( 6775 × 6780) / 5
LCM(6775,6780) = 45934500 / 5
LCM(6775,6780) = 9186900

Properties of LCM 6775 and 6780

(i) The LCM of 6780 and 6775 is associative

LCM of 6775 and 6780 = LCM of 6780 and 6775

Related Least Common Multiples of 6775

Related Least Common Multiples of 6780

Frequently Asked Questions on LCM of 6775 and 6780

1. What is the LCM of 6775 and 6780?

Answer: LCM of 6775 and 6780 is 9186900.

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 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.

4. How to Find the LCM of 6775 and 6780?

Answer:

Least Common Multiple of 6775 and 6780 = 9186900

Step 1: Find the prime factorization of 6775

6775 = 5 x 5 x 271

Step 2: Find the prime factorization of 6780

6780 = 2 x 2 x 3 x 5 x 113

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

LCM = 9186900 = 2 x 2 x 3 x 5 x 5 x 113 x 271

Step 4: Therefore, the least common multiple of 6775 and 6780 is 9186900.