Least Common Multiple of 6730 and 6737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6730 and 6737 the smallest integer that is 45340010 that is divisible by both numbers.

Least Common Multiple (LCM) of 6730 and 6737 is 45340010.

LCM(6730,6737) = 45340010

LCM of 6730 and 6737

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

LCM of:
and

Least Common Multiple of 6730 and 6737

LCM of 6730 and 6737 is 45340010

Least common multiple can be found by multiplying the highest exponent prime factors of 6730 and 6737. First we will calculate the prime factors of 6730 and 6737.

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

Prime Factorization of 6737


6737 6737
1

Prime factors of 6737 are 6737. Prime factorization of 6737 in exponential form is:

6737 = 67371

Now multiplying the highest exponent prime factors to calculate the LCM of 6730 and 6737.

LCM(6730,6737) = 21×51×6731×67371
LCM(6730,6737) = 45340010

Factors of 6730

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

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

Factors of 6737

List of positive integer factors of 6737 that divides 6737 without a remainder.

1, 6737

Least Common Multiple of 6730 and 6737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6730 and 6737, than apply into the LCM equation.

GCF(6730,6737) = 1
LCM(6730,6737) = ( 6730 × 6737) / 1
LCM(6730,6737) = 45340010 / 1
LCM(6730,6737) = 45340010

Properties of LCM 6730 and 6737

(i) The LCM of 6737 and 6730 is associative

LCM of 6730 and 6737 = LCM of 6737 and 6730

Related Least Common Multiples of 6730

Related Least Common Multiples of 6737

Frequently Asked Questions on LCM of 6730 and 6737

1. What is the LCM of 6730 and 6737?

Answer: LCM of 6730 and 6737 is 45340010.

2. 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.

3. What are the Factors of 6737?

Answer: Factors of 6737 are 1, 6737. There are 2 integers that are factors of 6737. The greatest factor of 6737 is 6737.

4. How to Find the LCM of 6730 and 6737?

Answer:

Least Common Multiple of 6730 and 6737 = 45340010

Step 1: Find the prime factorization of 6730

6730 = 2 x 5 x 673

Step 2: Find the prime factorization of 6737

6737 = 6737

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

LCM = 45340010 = 2 x 5 x 673 x 6737

Step 4: Therefore, the least common multiple of 6730 and 6737 is 45340010.