Least Common Multiple of 724 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 724 and 729 the smallest integer that is 527796 that is divisible by both numbers.

Least Common Multiple (LCM) of 724 and 729 is 527796.

LCM(724,729) = 527796

LCM of 724 and 729

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

LCM of:
and

Least Common Multiple of 724 and 729

LCM of 724 and 729 is 527796

Least common multiple can be found by multiplying the highest exponent prime factors of 724 and 729. First we will calculate the prime factors of 724 and 729.

Prime Factorization of 724


2 724
2 362
181 181
1

Prime factors of 724 are 2,181. Prime factorization of 724 in exponential form is:

724 = 22×1811

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 724 and 729.

LCM(724,729) = 22×36×1811
LCM(724,729) = 527796

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

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 724 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 724 and 729, than apply into the LCM equation.

GCF(724,729) = 1
LCM(724,729) = ( 724 × 729) / 1
LCM(724,729) = 527796 / 1
LCM(724,729) = 527796

Properties of LCM 724 and 729

(i) The LCM of 729 and 724 is associative

LCM of 724 and 729 = LCM of 729 and 724

Frequently Asked Questions on LCM of 724 and 729

1. What is the LCM of 724 and 729?

Answer: LCM of 724 and 729 is 527796.

2. What are the Factors of 724?

Answer: Factors of 724 are 1, 2, 4, 181, 362, 724. There are 6 integers that are factors of 724. The greatest factor of 724 is 724.

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 724 and 729?

Answer:

Least Common Multiple of 724 and 729 = 527796

Step 1: Find the prime factorization of 724

724 = 2 x 2 x 181

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 = 527796 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 3 x 181

Step 4: Therefore, the least common multiple of 724 and 729 is 527796.