Least Common Multiple of 6759 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 6759 and 6763 the smallest integer that is 45711117 that is divisible by both numbers.

Least Common Multiple (LCM) of 6759 and 6763 is 45711117.

LCM(6759,6763) = 45711117

LCM of 6759 and 6763

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

LCM of:
and

Least Common Multiple of 6759 and 6763

LCM of 6759 and 6763 is 45711117

Least common multiple can be found by multiplying the highest exponent prime factors of 6759 and 6763. First we will calculate the prime factors of 6759 and 6763.

Prime Factorization of 6759


3 6759
3 2253
751 751
1

Prime factors of 6759 are 3,751. Prime factorization of 6759 in exponential form is:

6759 = 32×7511

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 6759 and 6763.

LCM(6759,6763) = 32×7511×67631
LCM(6759,6763) = 45711117

Factors of 6759

List of positive integer factors of 6759 that divides 6759 without a remainder.

1, 3, 9, 751, 2253, 6759

Factors of 6763

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

1, 6763

Least Common Multiple of 6759 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 6759 and 6763, than apply into the LCM equation.

GCF(6759,6763) = 1
LCM(6759,6763) = ( 6759 × 6763) / 1
LCM(6759,6763) = 45711117 / 1
LCM(6759,6763) = 45711117

Properties of LCM 6759 and 6763

(i) The LCM of 6763 and 6759 is associative

LCM of 6759 and 6763 = LCM of 6763 and 6759

Related Least Common Multiples of 6759

Related Least Common Multiples of 6763

Frequently Asked Questions on LCM of 6759 and 6763

1. What is the LCM of 6759 and 6763?

Answer: LCM of 6759 and 6763 is 45711117.

2. What are the Factors of 6759?

Answer: Factors of 6759 are 1, 3, 9, 751, 2253, 6759. There are 6 integers that are factors of 6759. The greatest factor of 6759 is 6759.

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 6759 and 6763?

Answer:

Least Common Multiple of 6759 and 6763 = 45711117

Step 1: Find the prime factorization of 6759

6759 = 3 x 3 x 751

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 = 45711117 = 3 x 3 x 751 x 6763

Step 4: Therefore, the least common multiple of 6759 and 6763 is 45711117.