Least Common Multiple of 6724 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 6724 and 6730 the smallest integer that is 22626260 that is divisible by both numbers.

Least Common Multiple (LCM) of 6724 and 6730 is 22626260.

LCM(6724,6730) = 22626260

LCM of 6724 and 6730

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

LCM of:
and

Least Common Multiple of 6724 and 6730

LCM of 6724 and 6730 is 22626260

Least common multiple can be found by multiplying the highest exponent prime factors of 6724 and 6730. First we will calculate the prime factors of 6724 and 6730.

Prime Factorization of 6724


2 6724
2 3362
41 1681
41 41
1

Prime factors of 6724 are 2,41. Prime factorization of 6724 in exponential form is:

6724 = 22×412

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 6724 and 6730.

LCM(6724,6730) = 22×51×412×6731
LCM(6724,6730) = 22626260

Factors of 6724

List of positive integer factors of 6724 that divides 6724 without a remainder.

1, 2, 4, 41, 82, 164, 1681, 3362, 6724

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 6724 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 6724 and 6730, than apply into the LCM equation.

GCF(6724,6730) = 2
LCM(6724,6730) = ( 6724 × 6730) / 2
LCM(6724,6730) = 45252520 / 2
LCM(6724,6730) = 22626260

Properties of LCM 6724 and 6730

(i) The LCM of 6730 and 6724 is associative

LCM of 6724 and 6730 = LCM of 6730 and 6724

Related Least Common Multiples of 6724

Related Least Common Multiples of 6730

Frequently Asked Questions on LCM of 6724 and 6730

1. What is the LCM of 6724 and 6730?

Answer: LCM of 6724 and 6730 is 22626260.

2. What are the Factors of 6724?

Answer: Factors of 6724 are 1, 2, 4, 41, 82, 164, 1681, 3362, 6724. There are 9 integers that are factors of 6724. The greatest factor of 6724 is 6724.

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 6724 and 6730?

Answer:

Least Common Multiple of 6724 and 6730 = 22626260

Step 1: Find the prime factorization of 6724

6724 = 2 x 2 x 41 x 41

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 = 22626260 = 2 x 2 x 5 x 41 x 41 x 673

Step 4: Therefore, the least common multiple of 6724 and 6730 is 22626260.