Least Common Multiple of 6735 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 6735 and 6740 the smallest integer that is 9078780 that is divisible by both numbers.

Least Common Multiple (LCM) of 6735 and 6740 is 9078780.

LCM(6735,6740) = 9078780

LCM of 6735 and 6740

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

LCM of:
and

Least Common Multiple of 6735 and 6740

LCM of 6735 and 6740 is 9078780

Least common multiple can be found by multiplying the highest exponent prime factors of 6735 and 6740. First we will calculate the prime factors of 6735 and 6740.

Prime Factorization of 6735


3 6735
5 2245
449 449
1

Prime factors of 6735 are 3, 5,449. Prime factorization of 6735 in exponential form is:

6735 = 31×51×4491

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 6735 and 6740.

LCM(6735,6740) = 22×31×51×3371×4491
LCM(6735,6740) = 9078780

Factors of 6735

List of positive integer factors of 6735 that divides 6735 without a remainder.

1, 3, 5, 15, 449, 1347, 2245, 6735

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 6735 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 6735 and 6740, than apply into the LCM equation.

GCF(6735,6740) = 5
LCM(6735,6740) = ( 6735 × 6740) / 5
LCM(6735,6740) = 45393900 / 5
LCM(6735,6740) = 9078780

Properties of LCM 6735 and 6740

(i) The LCM of 6740 and 6735 is associative

LCM of 6735 and 6740 = LCM of 6740 and 6735

Related Least Common Multiples of 6735

Related Least Common Multiples of 6740

Frequently Asked Questions on LCM of 6735 and 6740

1. What is the LCM of 6735 and 6740?

Answer: LCM of 6735 and 6740 is 9078780.

2. What are the Factors of 6735?

Answer: Factors of 6735 are 1, 3, 5, 15, 449, 1347, 2245, 6735. There are 8 integers that are factors of 6735. The greatest factor of 6735 is 6735.

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 6735 and 6740?

Answer:

Least Common Multiple of 6735 and 6740 = 9078780

Step 1: Find the prime factorization of 6735

6735 = 3 x 5 x 449

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 = 9078780 = 2 x 2 x 3 x 5 x 337 x 449

Step 4: Therefore, the least common multiple of 6735 and 6740 is 9078780.