Least Common Multiple of 729 and 731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 729 and 731 the smallest integer that is 532899 that is divisible by both numbers.

Least Common Multiple (LCM) of 729 and 731 is 532899.

LCM(729,731) = 532899

LCM of 729 and 731

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

LCM of:
and

Least Common Multiple of 729 and 731

LCM of 729 and 731 is 532899

Least common multiple can be found by multiplying the highest exponent prime factors of 729 and 731. First we will calculate the prime factors of 729 and 731.

Prime Factorization of 729


3 729
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 729 are 3. Prime factorization of 729 in exponential form is:

729 = 36

Prime Factorization of 731


17 731
43 43
1

Prime factors of 731 are 17,43. Prime factorization of 731 in exponential form is:

731 = 171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 729 and 731.

LCM(729,731) = 36×171×431
LCM(729,731) = 532899

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Factors of 731

List of positive integer factors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Least Common Multiple of 729 and 731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 729 and 731, than apply into the LCM equation.

GCF(729,731) = 1
LCM(729,731) = ( 729 × 731) / 1
LCM(729,731) = 532899 / 1
LCM(729,731) = 532899

Properties of LCM 729 and 731

(i) The LCM of 731 and 729 is associative

LCM of 729 and 731 = LCM of 731 and 729

Related Least Common Multiples of 729

Related Least Common Multiples of 731

Frequently Asked Questions on LCM of 729 and 731

1. What is the LCM of 729 and 731?

Answer: LCM of 729 and 731 is 532899.

2. What are the Factors of 729?

Answer: Factors of 729 are 1, 3, 9, 27, 81, 243, 729. There are 7 integers that are factors of 729. The greatest factor of 729 is 729.

3. What are the Factors of 731?

Answer: Factors of 731 are 1, 17, 43, 731. There are 4 integers that are factors of 731. The greatest factor of 731 is 731.

4. How to Find the LCM of 729 and 731?

Answer:

Least Common Multiple of 729 and 731 = 532899

Step 1: Find the prime factorization of 729

729 = 3 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 731

731 = 17 x 43

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

LCM = 532899 = 3 x 3 x 3 x 3 x 3 x 3 x 17 x 43

Step 4: Therefore, the least common multiple of 729 and 731 is 532899.