Least Common Multiple of 6772 and 6778

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6772 and 6778 the smallest integer that is 22950308 that is divisible by both numbers.

Least Common Multiple (LCM) of 6772 and 6778 is 22950308.

LCM(6772,6778) = 22950308

LCM of 6772 and 6778

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

LCM of:
and

Least Common Multiple of 6772 and 6778

LCM of 6772 and 6778 is 22950308

Least common multiple can be found by multiplying the highest exponent prime factors of 6772 and 6778. First we will calculate the prime factors of 6772 and 6778.

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

Prime Factorization of 6778


2 6778
3389 3389
1

Prime factors of 6778 are 2,3389. Prime factorization of 6778 in exponential form is:

6778 = 21×33891

Now multiplying the highest exponent prime factors to calculate the LCM of 6772 and 6778.

LCM(6772,6778) = 22×16931×33891
LCM(6772,6778) = 22950308

Factors of 6772

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

1, 2, 4, 1693, 3386, 6772

Factors of 6778

List of positive integer factors of 6778 that divides 6778 without a remainder.

1, 2, 3389, 6778

Least Common Multiple of 6772 and 6778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6772 and 6778, than apply into the LCM equation.

GCF(6772,6778) = 2
LCM(6772,6778) = ( 6772 × 6778) / 2
LCM(6772,6778) = 45900616 / 2
LCM(6772,6778) = 22950308

Properties of LCM 6772 and 6778

(i) The LCM of 6778 and 6772 is associative

LCM of 6772 and 6778 = LCM of 6778 and 6772

Related Least Common Multiples of 6772

Related Least Common Multiples of 6778

Frequently Asked Questions on LCM of 6772 and 6778

1. What is the LCM of 6772 and 6778?

Answer: LCM of 6772 and 6778 is 22950308.

2. 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.

3. What are the Factors of 6778?

Answer: Factors of 6778 are 1, 2, 3389, 6778. There are 4 integers that are factors of 6778. The greatest factor of 6778 is 6778.

4. How to Find the LCM of 6772 and 6778?

Answer:

Least Common Multiple of 6772 and 6778 = 22950308

Step 1: Find the prime factorization of 6772

6772 = 2 x 2 x 1693

Step 2: Find the prime factorization of 6778

6778 = 2 x 3389

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

LCM = 22950308 = 2 x 2 x 1693 x 3389

Step 4: Therefore, the least common multiple of 6772 and 6778 is 22950308.