Least Common Multiple of 6769 and 6773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6769 and 6773 the smallest integer that is 45846437 that is divisible by both numbers.

Least Common Multiple (LCM) of 6769 and 6773 is 45846437.

LCM(6769,6773) = 45846437

LCM of 6769 and 6773

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

LCM of:
and

Least Common Multiple of 6769 and 6773

LCM of 6769 and 6773 is 45846437

Least common multiple can be found by multiplying the highest exponent prime factors of 6769 and 6773. First we will calculate the prime factors of 6769 and 6773.

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

Prime Factorization of 6773


13 6773
521 521
1

Prime factors of 6773 are 13,521. Prime factorization of 6773 in exponential form is:

6773 = 131×5211

Now multiplying the highest exponent prime factors to calculate the LCM of 6769 and 6773.

LCM(6769,6773) = 71×131×5211×9671
LCM(6769,6773) = 45846437

Factors of 6769

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

1, 7, 967, 6769

Factors of 6773

List of positive integer factors of 6773 that divides 6773 without a remainder.

1, 13, 521, 6773

Least Common Multiple of 6769 and 6773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6769 and 6773, than apply into the LCM equation.

GCF(6769,6773) = 1
LCM(6769,6773) = ( 6769 × 6773) / 1
LCM(6769,6773) = 45846437 / 1
LCM(6769,6773) = 45846437

Properties of LCM 6769 and 6773

(i) The LCM of 6773 and 6769 is associative

LCM of 6769 and 6773 = LCM of 6773 and 6769

Related Least Common Multiples of 6769

Related Least Common Multiples of 6773

Frequently Asked Questions on LCM of 6769 and 6773

1. What is the LCM of 6769 and 6773?

Answer: LCM of 6769 and 6773 is 45846437.

2. 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.

3. What are the Factors of 6773?

Answer: Factors of 6773 are 1, 13, 521, 6773. There are 4 integers that are factors of 6773. The greatest factor of 6773 is 6773.

4. How to Find the LCM of 6769 and 6773?

Answer:

Least Common Multiple of 6769 and 6773 = 45846437

Step 1: Find the prime factorization of 6769

6769 = 7 x 967

Step 2: Find the prime factorization of 6773

6773 = 13 x 521

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

LCM = 45846437 = 7 x 13 x 521 x 967

Step 4: Therefore, the least common multiple of 6769 and 6773 is 45846437.