Least Common Multiple of 6729 and 6734

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 6734 the smallest integer that is 45313086 that is divisible by both numbers.

Least Common Multiple (LCM) of 6729 and 6734 is 45313086.

LCM(6729,6734) = 45313086

LCM of 6729 and 6734

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

LCM of:
and

Least Common Multiple of 6729 and 6734

LCM of 6729 and 6734 is 45313086

Least common multiple can be found by multiplying the highest exponent prime factors of 6729 and 6734. First we will calculate the prime factors of 6729 and 6734.

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 6734


2 6734
7 3367
13 481
37 37
1

Prime factors of 6734 are 2, 7, 13,37. Prime factorization of 6734 in exponential form is:

6734 = 21×71×131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 6729 and 6734.

LCM(6729,6734) = 21×31×71×131×371×22431
LCM(6729,6734) = 45313086

Factors of 6729

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

1, 3, 2243, 6729

Factors of 6734

List of positive integer factors of 6734 that divides 6734 without a remainder.

1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734

Least Common Multiple of 6729 and 6734 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 6734, than apply into the LCM equation.

GCF(6729,6734) = 1
LCM(6729,6734) = ( 6729 × 6734) / 1
LCM(6729,6734) = 45313086 / 1
LCM(6729,6734) = 45313086

Properties of LCM 6729 and 6734

(i) The LCM of 6734 and 6729 is associative

LCM of 6729 and 6734 = LCM of 6734 and 6729

Related Least Common Multiples of 6729

Related Least Common Multiples of 6734

Frequently Asked Questions on LCM of 6729 and 6734

1. What is the LCM of 6729 and 6734?

Answer: LCM of 6729 and 6734 is 45313086.

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 6734?

Answer: Factors of 6734 are 1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734. There are 16 integers that are factors of 6734. The greatest factor of 6734 is 6734.

4. How to Find the LCM of 6729 and 6734?

Answer:

Least Common Multiple of 6729 and 6734 = 45313086

Step 1: Find the prime factorization of 6729

6729 = 3 x 2243

Step 2: Find the prime factorization of 6734

6734 = 2 x 7 x 13 x 37

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

LCM = 45313086 = 2 x 3 x 7 x 13 x 37 x 2243

Step 4: Therefore, the least common multiple of 6729 and 6734 is 45313086.