Least Common Multiple of 6770 and 6775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6770 and 6775 the smallest integer that is 9173350 that is divisible by both numbers.

Least Common Multiple (LCM) of 6770 and 6775 is 9173350.

LCM(6770,6775) = 9173350

LCM of 6770 and 6775

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

LCM of:
and

Least Common Multiple of 6770 and 6775

LCM of 6770 and 6775 is 9173350

Least common multiple can be found by multiplying the highest exponent prime factors of 6770 and 6775. First we will calculate the prime factors of 6770 and 6775.

Prime Factorization of 6770


2 6770
5 3385
677 677
1

Prime factors of 6770 are 2, 5,677. Prime factorization of 6770 in exponential form is:

6770 = 21×51×6771

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6770 and 6775.

LCM(6770,6775) = 21×52×2711×6771
LCM(6770,6775) = 9173350

Factors of 6770

List of positive integer factors of 6770 that divides 6770 without a remainder.

1, 2, 5, 10, 677, 1354, 3385, 6770

Factors of 6775

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

1, 5, 25, 271, 1355, 6775

Least Common Multiple of 6770 and 6775 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6770 and 6775, than apply into the LCM equation.

GCF(6770,6775) = 5
LCM(6770,6775) = ( 6770 × 6775) / 5
LCM(6770,6775) = 45866750 / 5
LCM(6770,6775) = 9173350

Properties of LCM 6770 and 6775

(i) The LCM of 6775 and 6770 is associative

LCM of 6770 and 6775 = LCM of 6775 and 6770

Related Least Common Multiples of 6770

Related Least Common Multiples of 6775

Frequently Asked Questions on LCM of 6770 and 6775

1. What is the LCM of 6770 and 6775?

Answer: LCM of 6770 and 6775 is 9173350.

2. What are the Factors of 6770?

Answer: Factors of 6770 are 1, 2, 5, 10, 677, 1354, 3385, 6770. There are 8 integers that are factors of 6770. The greatest factor of 6770 is 6770.

3. 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.

4. How to Find the LCM of 6770 and 6775?

Answer:

Least Common Multiple of 6770 and 6775 = 9173350

Step 1: Find the prime factorization of 6770

6770 = 2 x 5 x 677

Step 2: Find the prime factorization of 6775

6775 = 5 x 5 x 271

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

LCM = 9173350 = 2 x 5 x 5 x 271 x 677

Step 4: Therefore, the least common multiple of 6770 and 6775 is 9173350.