Least Common Multiple of 6764 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 6764 and 6772 the smallest integer that is 11451452 that is divisible by both numbers.

Least Common Multiple (LCM) of 6764 and 6772 is 11451452.

LCM(6764,6772) = 11451452

LCM of 6764 and 6772

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

LCM of:
and

Least Common Multiple of 6764 and 6772

LCM of 6764 and 6772 is 11451452

Least common multiple can be found by multiplying the highest exponent prime factors of 6764 and 6772. First we will calculate the prime factors of 6764 and 6772.

Prime Factorization of 6764


2 6764
2 3382
19 1691
89 89
1

Prime factors of 6764 are 2, 19,89. Prime factorization of 6764 in exponential form is:

6764 = 22×191×891

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 6764 and 6772.

LCM(6764,6772) = 22×191×891×16931
LCM(6764,6772) = 11451452

Factors of 6764

List of positive integer factors of 6764 that divides 6764 without a remainder.

1, 2, 4, 19, 38, 76, 89, 178, 356, 1691, 3382, 6764

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 6764 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 6764 and 6772, than apply into the LCM equation.

GCF(6764,6772) = 4
LCM(6764,6772) = ( 6764 × 6772) / 4
LCM(6764,6772) = 45805808 / 4
LCM(6764,6772) = 11451452

Properties of LCM 6764 and 6772

(i) The LCM of 6772 and 6764 is associative

LCM of 6764 and 6772 = LCM of 6772 and 6764

Related Least Common Multiples of 6764

Related Least Common Multiples of 6772

Frequently Asked Questions on LCM of 6764 and 6772

1. What is the LCM of 6764 and 6772?

Answer: LCM of 6764 and 6772 is 11451452.

2. What are the Factors of 6764?

Answer: Factors of 6764 are 1, 2, 4, 19, 38, 76, 89, 178, 356, 1691, 3382, 6764. There are 12 integers that are factors of 6764. The greatest factor of 6764 is 6764.

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 6764 and 6772?

Answer:

Least Common Multiple of 6764 and 6772 = 11451452

Step 1: Find the prime factorization of 6764

6764 = 2 x 2 x 19 x 89

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 = 11451452 = 2 x 2 x 19 x 89 x 1693

Step 4: Therefore, the least common multiple of 6764 and 6772 is 11451452.