Least Common Multiple of 6769 and 6772

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 6772 the smallest integer that is 45839668 that is divisible by both numbers.

Least Common Multiple (LCM) of 6769 and 6772 is 45839668.

LCM(6769,6772) = 45839668

LCM of 6769 and 6772

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

LCM of:
and

Least Common Multiple of 6769 and 6772

LCM of 6769 and 6772 is 45839668

Least common multiple can be found by multiplying the highest exponent prime factors of 6769 and 6772. First we will calculate the prime factors of 6769 and 6772.

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 6772


2 6772
2 3386
1693 1693
1

Prime factors of 6772 are 2,1693. Prime factorization of 6772 in exponential form is:

6772 = 22×16931

Now multiplying the highest exponent prime factors to calculate the LCM of 6769 and 6772.

LCM(6769,6772) = 22×71×9671×16931
LCM(6769,6772) = 45839668

Factors of 6769

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

1, 7, 967, 6769

Factors of 6772

List of positive integer factors of 6772 that divides 6772 without a remainder.

1, 2, 4, 1693, 3386, 6772

Least Common Multiple of 6769 and 6772 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 6772, than apply into the LCM equation.

GCF(6769,6772) = 1
LCM(6769,6772) = ( 6769 × 6772) / 1
LCM(6769,6772) = 45839668 / 1
LCM(6769,6772) = 45839668

Properties of LCM 6769 and 6772

(i) The LCM of 6772 and 6769 is associative

LCM of 6769 and 6772 = LCM of 6772 and 6769

Related Least Common Multiples of 6769

Related Least Common Multiples of 6772

Frequently Asked Questions on LCM of 6769 and 6772

1. What is the LCM of 6769 and 6772?

Answer: LCM of 6769 and 6772 is 45839668.

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 6772?

Answer: Factors of 6772 are 1, 2, 4, 1693, 3386, 6772. There are 6 integers that are factors of 6772. The greatest factor of 6772 is 6772.

4. How to Find the LCM of 6769 and 6772?

Answer:

Least Common Multiple of 6769 and 6772 = 45839668

Step 1: Find the prime factorization of 6769

6769 = 7 x 967

Step 2: Find the prime factorization of 6772

6772 = 2 x 2 x 1693

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

LCM = 45839668 = 2 x 2 x 7 x 967 x 1693

Step 4: Therefore, the least common multiple of 6769 and 6772 is 45839668.