Least Common Multiple of 721 and 729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 721 and 729 the smallest integer that is 525609 that is divisible by both numbers.

Least Common Multiple (LCM) of 721 and 729 is 525609.

LCM(721,729) = 525609

LCM of 721 and 729

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

LCM of:
and

Least Common Multiple of 721 and 729

LCM of 721 and 729 is 525609

Least common multiple can be found by multiplying the highest exponent prime factors of 721 and 729. First we will calculate the prime factors of 721 and 729.

Prime Factorization of 721


7 721
103 103
1

Prime factors of 721 are 7,103. Prime factorization of 721 in exponential form is:

721 = 71×1031

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

Now multiplying the highest exponent prime factors to calculate the LCM of 721 and 729.

LCM(721,729) = 36×71×1031
LCM(721,729) = 525609

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Factors of 729

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

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

Least Common Multiple of 721 and 729 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 721 and 729, than apply into the LCM equation.

GCF(721,729) = 1
LCM(721,729) = ( 721 × 729) / 1
LCM(721,729) = 525609 / 1
LCM(721,729) = 525609

Properties of LCM 721 and 729

(i) The LCM of 729 and 721 is associative

LCM of 721 and 729 = LCM of 729 and 721

Related Least Common Multiples of 721

Related Least Common Multiples of 729

Frequently Asked Questions on LCM of 721 and 729

1. What is the LCM of 721 and 729?

Answer: LCM of 721 and 729 is 525609.

2. What are the Factors of 721?

Answer: Factors of 721 are 1, 7, 103, 721. There are 4 integers that are factors of 721. The greatest factor of 721 is 721.

3. 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.

4. How to Find the LCM of 721 and 729?

Answer:

Least Common Multiple of 721 and 729 = 525609

Step 1: Find the prime factorization of 721

721 = 7 x 103

Step 2: Find the prime factorization of 729

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

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

LCM = 525609 = 3 x 3 x 3 x 3 x 3 x 3 x 7 x 103

Step 4: Therefore, the least common multiple of 721 and 729 is 525609.