Least Common Multiple of 6735 and 6742

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 6742 the smallest integer that is 45407370 that is divisible by both numbers.

Least Common Multiple (LCM) of 6735 and 6742 is 45407370.

LCM(6735,6742) = 45407370

LCM of 6735 and 6742

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

LCM of:
and

Least Common Multiple of 6735 and 6742

LCM of 6735 and 6742 is 45407370

Least common multiple can be found by multiplying the highest exponent prime factors of 6735 and 6742. First we will calculate the prime factors of 6735 and 6742.

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 6742


2 6742
3371 3371
1

Prime factors of 6742 are 2,3371. Prime factorization of 6742 in exponential form is:

6742 = 21×33711

Now multiplying the highest exponent prime factors to calculate the LCM of 6735 and 6742.

LCM(6735,6742) = 21×31×51×4491×33711
LCM(6735,6742) = 45407370

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 6742

List of positive integer factors of 6742 that divides 6742 without a remainder.

1, 2, 3371, 6742

Least Common Multiple of 6735 and 6742 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 6742, than apply into the LCM equation.

GCF(6735,6742) = 1
LCM(6735,6742) = ( 6735 × 6742) / 1
LCM(6735,6742) = 45407370 / 1
LCM(6735,6742) = 45407370

Properties of LCM 6735 and 6742

(i) The LCM of 6742 and 6735 is associative

LCM of 6735 and 6742 = LCM of 6742 and 6735

Related Least Common Multiples of 6735

Related Least Common Multiples of 6742

Frequently Asked Questions on LCM of 6735 and 6742

1. What is the LCM of 6735 and 6742?

Answer: LCM of 6735 and 6742 is 45407370.

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 6742?

Answer: Factors of 6742 are 1, 2, 3371, 6742. There are 4 integers that are factors of 6742. The greatest factor of 6742 is 6742.

4. How to Find the LCM of 6735 and 6742?

Answer:

Least Common Multiple of 6735 and 6742 = 45407370

Step 1: Find the prime factorization of 6735

6735 = 3 x 5 x 449

Step 2: Find the prime factorization of 6742

6742 = 2 x 3371

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

LCM = 45407370 = 2 x 3 x 5 x 449 x 3371

Step 4: Therefore, the least common multiple of 6735 and 6742 is 45407370.