Least Common Multiple of 726 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 726 and 729 the smallest integer that is 176418 that is divisible by both numbers.

Least Common Multiple (LCM) of 726 and 729 is 176418.

LCM(726,729) = 176418

LCM of 726 and 729

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

LCM of:
and

Least Common Multiple of 726 and 729

LCM of 726 and 729 is 176418

Least common multiple can be found by multiplying the highest exponent prime factors of 726 and 729. First we will calculate the prime factors of 726 and 729.

Prime Factorization of 726


2 726
3 363
11 121
11 11
1

Prime factors of 726 are 2, 3,11. Prime factorization of 726 in exponential form is:

726 = 21×31×112

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 726 and 729.

LCM(726,729) = 21×36×112
LCM(726,729) = 176418

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

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 726 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 726 and 729, than apply into the LCM equation.

GCF(726,729) = 3
LCM(726,729) = ( 726 × 729) / 3
LCM(726,729) = 529254 / 3
LCM(726,729) = 176418

Properties of LCM 726 and 729

(i) The LCM of 729 and 726 is associative

LCM of 726 and 729 = LCM of 729 and 726

Related Least Common Multiples of 726

Related Least Common Multiples of 729

Frequently Asked Questions on LCM of 726 and 729

1. What is the LCM of 726 and 729?

Answer: LCM of 726 and 729 is 176418.

2. What are the Factors of 726?

Answer: Factors of 726 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726. There are 12 integers that are factors of 726. The greatest factor of 726 is 726.

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 726 and 729?

Answer:

Least Common Multiple of 726 and 729 = 176418

Step 1: Find the prime factorization of 726

726 = 2 x 3 x 11 x 11

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 = 176418 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 11 x 11

Step 4: Therefore, the least common multiple of 726 and 729 is 176418.