Least Common Multiple of 6722 and 6730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6722 and 6730 the smallest integer that is 22619530 that is divisible by both numbers.

Least Common Multiple (LCM) of 6722 and 6730 is 22619530.

LCM(6722,6730) = 22619530

LCM of 6722 and 6730

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

LCM of:
and

Least Common Multiple of 6722 and 6730

LCM of 6722 and 6730 is 22619530

Least common multiple can be found by multiplying the highest exponent prime factors of 6722 and 6730. First we will calculate the prime factors of 6722 and 6730.

Prime Factorization of 6722


2 6722
3361 3361
1

Prime factors of 6722 are 2,3361. Prime factorization of 6722 in exponential form is:

6722 = 21×33611

Prime Factorization of 6730


2 6730
5 3365
673 673
1

Prime factors of 6730 are 2, 5,673. Prime factorization of 6730 in exponential form is:

6730 = 21×51×6731

Now multiplying the highest exponent prime factors to calculate the LCM of 6722 and 6730.

LCM(6722,6730) = 21×51×6731×33611
LCM(6722,6730) = 22619530

Factors of 6722

List of positive integer factors of 6722 that divides 6722 without a remainder.

1, 2, 3361, 6722

Factors of 6730

List of positive integer factors of 6730 that divides 6730 without a remainder.

1, 2, 5, 10, 673, 1346, 3365, 6730

Least Common Multiple of 6722 and 6730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6722 and 6730, than apply into the LCM equation.

GCF(6722,6730) = 2
LCM(6722,6730) = ( 6722 × 6730) / 2
LCM(6722,6730) = 45239060 / 2
LCM(6722,6730) = 22619530

Properties of LCM 6722 and 6730

(i) The LCM of 6730 and 6722 is associative

LCM of 6722 and 6730 = LCM of 6730 and 6722

Related Least Common Multiples of 6722

Related Least Common Multiples of 6730

Frequently Asked Questions on LCM of 6722 and 6730

1. What is the LCM of 6722 and 6730?

Answer: LCM of 6722 and 6730 is 22619530.

2. What are the Factors of 6722?

Answer: Factors of 6722 are 1, 2, 3361, 6722. There are 4 integers that are factors of 6722. The greatest factor of 6722 is 6722.

3. What are the Factors of 6730?

Answer: Factors of 6730 are 1, 2, 5, 10, 673, 1346, 3365, 6730. There are 8 integers that are factors of 6730. The greatest factor of 6730 is 6730.

4. How to Find the LCM of 6722 and 6730?

Answer:

Least Common Multiple of 6722 and 6730 = 22619530

Step 1: Find the prime factorization of 6722

6722 = 2 x 3361

Step 2: Find the prime factorization of 6730

6730 = 2 x 5 x 673

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

LCM = 22619530 = 2 x 5 x 673 x 3361

Step 4: Therefore, the least common multiple of 6722 and 6730 is 22619530.