Least Common Multiple of 6733 and 6740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6733 and 6740 the smallest integer that is 45380420 that is divisible by both numbers.

Least Common Multiple (LCM) of 6733 and 6740 is 45380420.

LCM(6733,6740) = 45380420

LCM of 6733 and 6740

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

LCM of:
and

Least Common Multiple of 6733 and 6740

LCM of 6733 and 6740 is 45380420

Least common multiple can be found by multiplying the highest exponent prime factors of 6733 and 6740. First we will calculate the prime factors of 6733 and 6740.

Prime Factorization of 6733


6733 6733
1

Prime factors of 6733 are 6733. Prime factorization of 6733 in exponential form is:

6733 = 67331

Prime Factorization of 6740


2 6740
2 3370
5 1685
337 337
1

Prime factors of 6740 are 2, 5,337. Prime factorization of 6740 in exponential form is:

6740 = 22×51×3371

Now multiplying the highest exponent prime factors to calculate the LCM of 6733 and 6740.

LCM(6733,6740) = 22×51×3371×67331
LCM(6733,6740) = 45380420

Factors of 6733

List of positive integer factors of 6733 that divides 6733 without a remainder.

1, 6733

Factors of 6740

List of positive integer factors of 6740 that divides 6740 without a remainder.

1, 2, 4, 5, 10, 20, 337, 674, 1348, 1685, 3370, 6740

Least Common Multiple of 6733 and 6740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6733 and 6740, than apply into the LCM equation.

GCF(6733,6740) = 1
LCM(6733,6740) = ( 6733 × 6740) / 1
LCM(6733,6740) = 45380420 / 1
LCM(6733,6740) = 45380420

Properties of LCM 6733 and 6740

(i) The LCM of 6740 and 6733 is associative

LCM of 6733 and 6740 = LCM of 6740 and 6733

Related Least Common Multiples of 6733

Related Least Common Multiples of 6740

Frequently Asked Questions on LCM of 6733 and 6740

1. What is the LCM of 6733 and 6740?

Answer: LCM of 6733 and 6740 is 45380420.

2. What are the Factors of 6733?

Answer: Factors of 6733 are 1, 6733. There are 2 integers that are factors of 6733. The greatest factor of 6733 is 6733.

3. What are the Factors of 6740?

Answer: Factors of 6740 are 1, 2, 4, 5, 10, 20, 337, 674, 1348, 1685, 3370, 6740. There are 12 integers that are factors of 6740. The greatest factor of 6740 is 6740.

4. How to Find the LCM of 6733 and 6740?

Answer:

Least Common Multiple of 6733 and 6740 = 45380420

Step 1: Find the prime factorization of 6733

6733 = 6733

Step 2: Find the prime factorization of 6740

6740 = 2 x 2 x 5 x 337

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

LCM = 45380420 = 2 x 2 x 5 x 337 x 6733

Step 4: Therefore, the least common multiple of 6733 and 6740 is 45380420.