Least Common Multiple of 6763 and 6769

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6763 and 6769 the smallest integer that is 45778747 that is divisible by both numbers.

Least Common Multiple (LCM) of 6763 and 6769 is 45778747.

LCM(6763,6769) = 45778747

LCM of 6763 and 6769

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

LCM of:
and

Least Common Multiple of 6763 and 6769

LCM of 6763 and 6769 is 45778747

Least common multiple can be found by multiplying the highest exponent prime factors of 6763 and 6769. First we will calculate the prime factors of 6763 and 6769.

Prime Factorization of 6763


6763 6763
1

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

6763 = 67631

Prime Factorization of 6769


7 6769
967 967
1

Prime factors of 6769 are 7,967. Prime factorization of 6769 in exponential form is:

6769 = 71×9671

Now multiplying the highest exponent prime factors to calculate the LCM of 6763 and 6769.

LCM(6763,6769) = 71×9671×67631
LCM(6763,6769) = 45778747

Factors of 6763

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

1, 6763

Factors of 6769

List of positive integer factors of 6769 that divides 6769 without a remainder.

1, 7, 967, 6769

Least Common Multiple of 6763 and 6769 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6763 and 6769, than apply into the LCM equation.

GCF(6763,6769) = 1
LCM(6763,6769) = ( 6763 × 6769) / 1
LCM(6763,6769) = 45778747 / 1
LCM(6763,6769) = 45778747

Properties of LCM 6763 and 6769

(i) The LCM of 6769 and 6763 is associative

LCM of 6763 and 6769 = LCM of 6769 and 6763

Related Least Common Multiples of 6763

Related Least Common Multiples of 6769

Frequently Asked Questions on LCM of 6763 and 6769

1. What is the LCM of 6763 and 6769?

Answer: LCM of 6763 and 6769 is 45778747.

2. 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.

3. What are the Factors of 6769?

Answer: Factors of 6769 are 1, 7, 967, 6769. There are 4 integers that are factors of 6769. The greatest factor of 6769 is 6769.

4. How to Find the LCM of 6763 and 6769?

Answer:

Least Common Multiple of 6763 and 6769 = 45778747

Step 1: Find the prime factorization of 6763

6763 = 6763

Step 2: Find the prime factorization of 6769

6769 = 7 x 967

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

LCM = 45778747 = 7 x 967 x 6763

Step 4: Therefore, the least common multiple of 6763 and 6769 is 45778747.