Least Common Multiple of 6733 and 6739

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 6739 the smallest integer that is 45373687 that is divisible by both numbers.

Least Common Multiple (LCM) of 6733 and 6739 is 45373687.

LCM(6733,6739) = 45373687

LCM of 6733 and 6739

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

LCM of:
and

Least Common Multiple of 6733 and 6739

LCM of 6733 and 6739 is 45373687

Least common multiple can be found by multiplying the highest exponent prime factors of 6733 and 6739. First we will calculate the prime factors of 6733 and 6739.

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 6739


23 6739
293 293
1

Prime factors of 6739 are 23,293. Prime factorization of 6739 in exponential form is:

6739 = 231×2931

Now multiplying the highest exponent prime factors to calculate the LCM of 6733 and 6739.

LCM(6733,6739) = 231×2931×67331
LCM(6733,6739) = 45373687

Factors of 6733

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

1, 6733

Factors of 6739

List of positive integer factors of 6739 that divides 6739 without a remainder.

1, 23, 293, 6739

Least Common Multiple of 6733 and 6739 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 6739, than apply into the LCM equation.

GCF(6733,6739) = 1
LCM(6733,6739) = ( 6733 × 6739) / 1
LCM(6733,6739) = 45373687 / 1
LCM(6733,6739) = 45373687

Properties of LCM 6733 and 6739

(i) The LCM of 6739 and 6733 is associative

LCM of 6733 and 6739 = LCM of 6739 and 6733

Related Least Common Multiples of 6733

Related Least Common Multiples of 6739

Frequently Asked Questions on LCM of 6733 and 6739

1. What is the LCM of 6733 and 6739?

Answer: LCM of 6733 and 6739 is 45373687.

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 6739?

Answer: Factors of 6739 are 1, 23, 293, 6739. There are 4 integers that are factors of 6739. The greatest factor of 6739 is 6739.

4. How to Find the LCM of 6733 and 6739?

Answer:

Least Common Multiple of 6733 and 6739 = 45373687

Step 1: Find the prime factorization of 6733

6733 = 6733

Step 2: Find the prime factorization of 6739

6739 = 23 x 293

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

LCM = 45373687 = 23 x 293 x 6733

Step 4: Therefore, the least common multiple of 6733 and 6739 is 45373687.