Least Common Multiple of 6729 and 6737

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6729 and 6737 the smallest integer that is 45333273 that is divisible by both numbers.

Least Common Multiple (LCM) of 6729 and 6737 is 45333273.

LCM(6729,6737) = 45333273

LCM of 6729 and 6737

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

LCM of:
and

Least Common Multiple of 6729 and 6737

LCM of 6729 and 6737 is 45333273

Least common multiple can be found by multiplying the highest exponent prime factors of 6729 and 6737. First we will calculate the prime factors of 6729 and 6737.

Prime Factorization of 6729


3 6729
2243 2243
1

Prime factors of 6729 are 3,2243. Prime factorization of 6729 in exponential form is:

6729 = 31×22431

Prime Factorization of 6737


6737 6737
1

Prime factors of 6737 are 6737. Prime factorization of 6737 in exponential form is:

6737 = 67371

Now multiplying the highest exponent prime factors to calculate the LCM of 6729 and 6737.

LCM(6729,6737) = 31×22431×67371
LCM(6729,6737) = 45333273

Factors of 6729

List of positive integer factors of 6729 that divides 6729 without a remainder.

1, 3, 2243, 6729

Factors of 6737

List of positive integer factors of 6737 that divides 6737 without a remainder.

1, 6737

Least Common Multiple of 6729 and 6737 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6729 and 6737, than apply into the LCM equation.

GCF(6729,6737) = 1
LCM(6729,6737) = ( 6729 × 6737) / 1
LCM(6729,6737) = 45333273 / 1
LCM(6729,6737) = 45333273

Properties of LCM 6729 and 6737

(i) The LCM of 6737 and 6729 is associative

LCM of 6729 and 6737 = LCM of 6737 and 6729

Related Least Common Multiples of 6729

Related Least Common Multiples of 6737

Frequently Asked Questions on LCM of 6729 and 6737

1. What is the LCM of 6729 and 6737?

Answer: LCM of 6729 and 6737 is 45333273.

2. What are the Factors of 6729?

Answer: Factors of 6729 are 1, 3, 2243, 6729. There are 4 integers that are factors of 6729. The greatest factor of 6729 is 6729.

3. What are the Factors of 6737?

Answer: Factors of 6737 are 1, 6737. There are 2 integers that are factors of 6737. The greatest factor of 6737 is 6737.

4. How to Find the LCM of 6729 and 6737?

Answer:

Least Common Multiple of 6729 and 6737 = 45333273

Step 1: Find the prime factorization of 6729

6729 = 3 x 2243

Step 2: Find the prime factorization of 6737

6737 = 6737

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

LCM = 45333273 = 3 x 2243 x 6737

Step 4: Therefore, the least common multiple of 6729 and 6737 is 45333273.