Least Common Multiple of 6735 and 6743

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 6743 the smallest integer that is 45414105 that is divisible by both numbers.

Least Common Multiple (LCM) of 6735 and 6743 is 45414105.

LCM(6735,6743) = 45414105

LCM of 6735 and 6743

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

LCM of:
and

Least Common Multiple of 6735 and 6743

LCM of 6735 and 6743 is 45414105

Least common multiple can be found by multiplying the highest exponent prime factors of 6735 and 6743. First we will calculate the prime factors of 6735 and 6743.

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 6743


11 6743
613 613
1

Prime factors of 6743 are 11,613. Prime factorization of 6743 in exponential form is:

6743 = 111×6131

Now multiplying the highest exponent prime factors to calculate the LCM of 6735 and 6743.

LCM(6735,6743) = 31×51×111×4491×6131
LCM(6735,6743) = 45414105

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 6743

List of positive integer factors of 6743 that divides 6743 without a remainder.

1, 11, 613, 6743

Least Common Multiple of 6735 and 6743 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 6743, than apply into the LCM equation.

GCF(6735,6743) = 1
LCM(6735,6743) = ( 6735 × 6743) / 1
LCM(6735,6743) = 45414105 / 1
LCM(6735,6743) = 45414105

Properties of LCM 6735 and 6743

(i) The LCM of 6743 and 6735 is associative

LCM of 6735 and 6743 = LCM of 6743 and 6735

Related Least Common Multiples of 6735

Related Least Common Multiples of 6743

Frequently Asked Questions on LCM of 6735 and 6743

1. What is the LCM of 6735 and 6743?

Answer: LCM of 6735 and 6743 is 45414105.

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 6743?

Answer: Factors of 6743 are 1, 11, 613, 6743. There are 4 integers that are factors of 6743. The greatest factor of 6743 is 6743.

4. How to Find the LCM of 6735 and 6743?

Answer:

Least Common Multiple of 6735 and 6743 = 45414105

Step 1: Find the prime factorization of 6735

6735 = 3 x 5 x 449

Step 2: Find the prime factorization of 6743

6743 = 11 x 613

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

LCM = 45414105 = 3 x 5 x 11 x 449 x 613

Step 4: Therefore, the least common multiple of 6735 and 6743 is 45414105.