Least Common Multiple of 6740 and 6745

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6740 and 6745 the smallest integer that is 9092260 that is divisible by both numbers.

Least Common Multiple (LCM) of 6740 and 6745 is 9092260.

LCM(6740,6745) = 9092260

LCM of 6740 and 6745

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

LCM of:
and

Least Common Multiple of 6740 and 6745

LCM of 6740 and 6745 is 9092260

Least common multiple can be found by multiplying the highest exponent prime factors of 6740 and 6745. First we will calculate the prime factors of 6740 and 6745.

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

Prime Factorization of 6745


5 6745
19 1349
71 71
1

Prime factors of 6745 are 5, 19,71. Prime factorization of 6745 in exponential form is:

6745 = 51×191×711

Now multiplying the highest exponent prime factors to calculate the LCM of 6740 and 6745.

LCM(6740,6745) = 22×51×191×711×3371
LCM(6740,6745) = 9092260

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

Factors of 6745

List of positive integer factors of 6745 that divides 6745 without a remainder.

1, 5, 19, 71, 95, 355, 1349, 6745

Least Common Multiple of 6740 and 6745 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6740 and 6745, than apply into the LCM equation.

GCF(6740,6745) = 5
LCM(6740,6745) = ( 6740 × 6745) / 5
LCM(6740,6745) = 45461300 / 5
LCM(6740,6745) = 9092260

Properties of LCM 6740 and 6745

(i) The LCM of 6745 and 6740 is associative

LCM of 6740 and 6745 = LCM of 6745 and 6740

Related Least Common Multiples of 6740

Related Least Common Multiples of 6745

Frequently Asked Questions on LCM of 6740 and 6745

1. What is the LCM of 6740 and 6745?

Answer: LCM of 6740 and 6745 is 9092260.

2. 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.

3. What are the Factors of 6745?

Answer: Factors of 6745 are 1, 5, 19, 71, 95, 355, 1349, 6745. There are 8 integers that are factors of 6745. The greatest factor of 6745 is 6745.

4. How to Find the LCM of 6740 and 6745?

Answer:

Least Common Multiple of 6740 and 6745 = 9092260

Step 1: Find the prime factorization of 6740

6740 = 2 x 2 x 5 x 337

Step 2: Find the prime factorization of 6745

6745 = 5 x 19 x 71

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

LCM = 9092260 = 2 x 2 x 5 x 19 x 71 x 337

Step 4: Therefore, the least common multiple of 6740 and 6745 is 9092260.