Least Common Multiple of 6757 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 6757 and 6763 the smallest integer that is 45697591 that is divisible by both numbers.

Least Common Multiple (LCM) of 6757 and 6763 is 45697591.

LCM(6757,6763) = 45697591

LCM of 6757 and 6763

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

LCM of:
and

Least Common Multiple of 6757 and 6763

LCM of 6757 and 6763 is 45697591

Least common multiple can be found by multiplying the highest exponent prime factors of 6757 and 6763. First we will calculate the prime factors of 6757 and 6763.

Prime Factorization of 6757


29 6757
233 233
1

Prime factors of 6757 are 29,233. Prime factorization of 6757 in exponential form is:

6757 = 291×2331

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 6757 and 6763.

LCM(6757,6763) = 291×2331×67631
LCM(6757,6763) = 45697591

Factors of 6757

List of positive integer factors of 6757 that divides 6757 without a remainder.

1, 29, 233, 6757

Factors of 6763

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

1, 6763

Least Common Multiple of 6757 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 6757 and 6763, than apply into the LCM equation.

GCF(6757,6763) = 1
LCM(6757,6763) = ( 6757 × 6763) / 1
LCM(6757,6763) = 45697591 / 1
LCM(6757,6763) = 45697591

Properties of LCM 6757 and 6763

(i) The LCM of 6763 and 6757 is associative

LCM of 6757 and 6763 = LCM of 6763 and 6757

Related Least Common Multiples of 6757

Related Least Common Multiples of 6763

Frequently Asked Questions on LCM of 6757 and 6763

1. What is the LCM of 6757 and 6763?

Answer: LCM of 6757 and 6763 is 45697591.

2. What are the Factors of 6757?

Answer: Factors of 6757 are 1, 29, 233, 6757. There are 4 integers that are factors of 6757. The greatest factor of 6757 is 6757.

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 6757 and 6763?

Answer:

Least Common Multiple of 6757 and 6763 = 45697591

Step 1: Find the prime factorization of 6757

6757 = 29 x 233

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 = 45697591 = 29 x 233 x 6763

Step 4: Therefore, the least common multiple of 6757 and 6763 is 45697591.