Least Common Multiple of 6740 and 6747

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 6747 the smallest integer that is 45474780 that is divisible by both numbers.

Least Common Multiple (LCM) of 6740 and 6747 is 45474780.

LCM(6740,6747) = 45474780

LCM of 6740 and 6747

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

LCM of:
and

Least Common Multiple of 6740 and 6747

LCM of 6740 and 6747 is 45474780

Least common multiple can be found by multiplying the highest exponent prime factors of 6740 and 6747. First we will calculate the prime factors of 6740 and 6747.

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 6747


3 6747
13 2249
173 173
1

Prime factors of 6747 are 3, 13,173. Prime factorization of 6747 in exponential form is:

6747 = 31×131×1731

Now multiplying the highest exponent prime factors to calculate the LCM of 6740 and 6747.

LCM(6740,6747) = 22×31×51×131×1731×3371
LCM(6740,6747) = 45474780

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 6747

List of positive integer factors of 6747 that divides 6747 without a remainder.

1, 3, 13, 39, 173, 519, 2249, 6747

Least Common Multiple of 6740 and 6747 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 6747, than apply into the LCM equation.

GCF(6740,6747) = 1
LCM(6740,6747) = ( 6740 × 6747) / 1
LCM(6740,6747) = 45474780 / 1
LCM(6740,6747) = 45474780

Properties of LCM 6740 and 6747

(i) The LCM of 6747 and 6740 is associative

LCM of 6740 and 6747 = LCM of 6747 and 6740

Related Least Common Multiples of 6740

Related Least Common Multiples of 6747

Frequently Asked Questions on LCM of 6740 and 6747

1. What is the LCM of 6740 and 6747?

Answer: LCM of 6740 and 6747 is 45474780.

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 6747?

Answer: Factors of 6747 are 1, 3, 13, 39, 173, 519, 2249, 6747. There are 8 integers that are factors of 6747. The greatest factor of 6747 is 6747.

4. How to Find the LCM of 6740 and 6747?

Answer:

Least Common Multiple of 6740 and 6747 = 45474780

Step 1: Find the prime factorization of 6740

6740 = 2 x 2 x 5 x 337

Step 2: Find the prime factorization of 6747

6747 = 3 x 13 x 173

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

LCM = 45474780 = 2 x 2 x 3 x 5 x 13 x 173 x 337

Step 4: Therefore, the least common multiple of 6740 and 6747 is 45474780.