Least Common Multiple of 6736 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 6736 and 6740 the smallest integer that is 11350160 that is divisible by both numbers.

Least Common Multiple (LCM) of 6736 and 6740 is 11350160.

LCM(6736,6740) = 11350160

LCM of 6736 and 6740

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

LCM of:
and

Least Common Multiple of 6736 and 6740

LCM of 6736 and 6740 is 11350160

Least common multiple can be found by multiplying the highest exponent prime factors of 6736 and 6740. First we will calculate the prime factors of 6736 and 6740.

Prime Factorization of 6736


2 6736
2 3368
2 1684
2 842
421 421
1

Prime factors of 6736 are 2,421. Prime factorization of 6736 in exponential form is:

6736 = 24×4211

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 6736 and 6740.

LCM(6736,6740) = 24×51×3371×4211
LCM(6736,6740) = 11350160

Factors of 6736

List of positive integer factors of 6736 that divides 6736 without a remainder.

1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736

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 6736 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 6736 and 6740, than apply into the LCM equation.

GCF(6736,6740) = 4
LCM(6736,6740) = ( 6736 × 6740) / 4
LCM(6736,6740) = 45400640 / 4
LCM(6736,6740) = 11350160

Properties of LCM 6736 and 6740

(i) The LCM of 6740 and 6736 is associative

LCM of 6736 and 6740 = LCM of 6740 and 6736

Related Least Common Multiples of 6736

Related Least Common Multiples of 6740

Frequently Asked Questions on LCM of 6736 and 6740

1. What is the LCM of 6736 and 6740?

Answer: LCM of 6736 and 6740 is 11350160.

2. What are the Factors of 6736?

Answer: Factors of 6736 are 1, 2, 4, 8, 16, 421, 842, 1684, 3368, 6736. There are 10 integers that are factors of 6736. The greatest factor of 6736 is 6736.

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 6736 and 6740?

Answer:

Least Common Multiple of 6736 and 6740 = 11350160

Step 1: Find the prime factorization of 6736

6736 = 2 x 2 x 2 x 2 x 421

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 = 11350160 = 2 x 2 x 2 x 2 x 5 x 337 x 421

Step 4: Therefore, the least common multiple of 6736 and 6740 is 11350160.