Least Common Multiple of 729 and 730

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 730 the smallest integer that is 532170 that is divisible by both numbers.

Least Common Multiple (LCM) of 729 and 730 is 532170.

LCM(729,730) = 532170

LCM of 729 and 730

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

LCM of:
and

Least Common Multiple of 729 and 730

LCM of 729 and 730 is 532170

Least common multiple can be found by multiplying the highest exponent prime factors of 729 and 730. First we will calculate the prime factors of 729 and 730.

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 730


2 730
5 365
73 73
1

Prime factors of 730 are 2, 5,73. Prime factorization of 730 in exponential form is:

730 = 21×51×731

Now multiplying the highest exponent prime factors to calculate the LCM of 729 and 730.

LCM(729,730) = 21×36×51×731
LCM(729,730) = 532170

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 730

List of positive integer factors of 730 that divides 730 without a remainder.

1, 2, 5, 10, 73, 146, 365, 730

Least Common Multiple of 729 and 730 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 730, than apply into the LCM equation.

GCF(729,730) = 1
LCM(729,730) = ( 729 × 730) / 1
LCM(729,730) = 532170 / 1
LCM(729,730) = 532170

Properties of LCM 729 and 730

(i) The LCM of 730 and 729 is associative

LCM of 729 and 730 = LCM of 730 and 729

Related Least Common Multiples of 729

Related Least Common Multiples of 730

Frequently Asked Questions on LCM of 729 and 730

1. What is the LCM of 729 and 730?

Answer: LCM of 729 and 730 is 532170.

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 730?

Answer: Factors of 730 are 1, 2, 5, 10, 73, 146, 365, 730. There are 8 integers that are factors of 730. The greatest factor of 730 is 730.

4. How to Find the LCM of 729 and 730?

Answer:

Least Common Multiple of 729 and 730 = 532170

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 730

730 = 2 x 5 x 73

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

LCM = 532170 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 5 x 73

Step 4: Therefore, the least common multiple of 729 and 730 is 532170.