Least Common Multiple of 6755 and 6763

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6755 and 6763 the smallest integer that is 45684065 that is divisible by both numbers.

Least Common Multiple (LCM) of 6755 and 6763 is 45684065.

LCM(6755,6763) = 45684065

LCM of 6755 and 6763

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

LCM of:
and

Least Common Multiple of 6755 and 6763

LCM of 6755 and 6763 is 45684065

Least common multiple can be found by multiplying the highest exponent prime factors of 6755 and 6763. First we will calculate the prime factors of 6755 and 6763.

Prime Factorization of 6755


5 6755
7 1351
193 193
1

Prime factors of 6755 are 5, 7,193. Prime factorization of 6755 in exponential form is:

6755 = 51×71×1931

Prime Factorization of 6763


6763 6763
1

Prime factors of 6763 are 6763. Prime factorization of 6763 in exponential form is:

6763 = 67631

Now multiplying the highest exponent prime factors to calculate the LCM of 6755 and 6763.

LCM(6755,6763) = 51×71×1931×67631
LCM(6755,6763) = 45684065

Factors of 6755

List of positive integer factors of 6755 that divides 6755 without a remainder.

1, 5, 7, 35, 193, 965, 1351, 6755

Factors of 6763

List of positive integer factors of 6763 that divides 6763 without a remainder.

1, 6763

Least Common Multiple of 6755 and 6763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6755 and 6763, than apply into the LCM equation.

GCF(6755,6763) = 1
LCM(6755,6763) = ( 6755 × 6763) / 1
LCM(6755,6763) = 45684065 / 1
LCM(6755,6763) = 45684065

Properties of LCM 6755 and 6763

(i) The LCM of 6763 and 6755 is associative

LCM of 6755 and 6763 = LCM of 6763 and 6755

Related Least Common Multiples of 6755

Related Least Common Multiples of 6763

Frequently Asked Questions on LCM of 6755 and 6763

1. What is the LCM of 6755 and 6763?

Answer: LCM of 6755 and 6763 is 45684065.

2. What are the Factors of 6755?

Answer: Factors of 6755 are 1, 5, 7, 35, 193, 965, 1351, 6755. There are 8 integers that are factors of 6755. The greatest factor of 6755 is 6755.

3. What are the Factors of 6763?

Answer: Factors of 6763 are 1, 6763. There are 2 integers that are factors of 6763. The greatest factor of 6763 is 6763.

4. How to Find the LCM of 6755 and 6763?

Answer:

Least Common Multiple of 6755 and 6763 = 45684065

Step 1: Find the prime factorization of 6755

6755 = 5 x 7 x 193

Step 2: Find the prime factorization of 6763

6763 = 6763

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

LCM = 45684065 = 5 x 7 x 193 x 6763

Step 4: Therefore, the least common multiple of 6755 and 6763 is 45684065.