Least Common Multiple of 6733 and 6735

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6733 and 6735 the smallest integer that is 45346755 that is divisible by both numbers.

Least Common Multiple (LCM) of 6733 and 6735 is 45346755.

LCM(6733,6735) = 45346755

LCM of 6733 and 6735

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

LCM of:
and

Least Common Multiple of 6733 and 6735

LCM of 6733 and 6735 is 45346755

Least common multiple can be found by multiplying the highest exponent prime factors of 6733 and 6735. First we will calculate the prime factors of 6733 and 6735.

Prime Factorization of 6733


6733 6733
1

Prime factors of 6733 are 6733. Prime factorization of 6733 in exponential form is:

6733 = 67331

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

Now multiplying the highest exponent prime factors to calculate the LCM of 6733 and 6735.

LCM(6733,6735) = 31×51×4491×67331
LCM(6733,6735) = 45346755

Factors of 6733

List of positive integer factors of 6733 that divides 6733 without a remainder.

1, 6733

Factors of 6735

List of positive integer factors of 6735 that divides 6735 without a remainder.

1, 3, 5, 15, 449, 1347, 2245, 6735

Least Common Multiple of 6733 and 6735 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6733 and 6735, than apply into the LCM equation.

GCF(6733,6735) = 1
LCM(6733,6735) = ( 6733 × 6735) / 1
LCM(6733,6735) = 45346755 / 1
LCM(6733,6735) = 45346755

Properties of LCM 6733 and 6735

(i) The LCM of 6735 and 6733 is associative

LCM of 6733 and 6735 = LCM of 6735 and 6733

Related Least Common Multiples of 6733

Related Least Common Multiples of 6735

Frequently Asked Questions on LCM of 6733 and 6735

1. What is the LCM of 6733 and 6735?

Answer: LCM of 6733 and 6735 is 45346755.

2. What are the Factors of 6733?

Answer: Factors of 6733 are 1, 6733. There are 2 integers that are factors of 6733. The greatest factor of 6733 is 6733.

3. 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.

4. How to Find the LCM of 6733 and 6735?

Answer:

Least Common Multiple of 6733 and 6735 = 45346755

Step 1: Find the prime factorization of 6733

6733 = 6733

Step 2: Find the prime factorization of 6735

6735 = 3 x 5 x 449

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

LCM = 45346755 = 3 x 5 x 449 x 6733

Step 4: Therefore, the least common multiple of 6733 and 6735 is 45346755.