Least Common Multiple of 722 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 722 and 729 the smallest integer that is 526338 that is divisible by both numbers.

Least Common Multiple (LCM) of 722 and 729 is 526338.

LCM(722,729) = 526338

LCM of 722 and 729

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

LCM of:
and

Least Common Multiple of 722 and 729

LCM of 722 and 729 is 526338

Least common multiple can be found by multiplying the highest exponent prime factors of 722 and 729. First we will calculate the prime factors of 722 and 729.

Prime Factorization of 722


2 722
19 361
19 19
1

Prime factors of 722 are 2,19. Prime factorization of 722 in exponential form is:

722 = 21×192

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 722 and 729.

LCM(722,729) = 21×36×192
LCM(722,729) = 526338

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1, 2, 19, 38, 361, 722

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 722 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 722 and 729, than apply into the LCM equation.

GCF(722,729) = 1
LCM(722,729) = ( 722 × 729) / 1
LCM(722,729) = 526338 / 1
LCM(722,729) = 526338

Properties of LCM 722 and 729

(i) The LCM of 729 and 722 is associative

LCM of 722 and 729 = LCM of 729 and 722

Related Least Common Multiples of 722

Related Least Common Multiples of 729

Frequently Asked Questions on LCM of 722 and 729

1. What is the LCM of 722 and 729?

Answer: LCM of 722 and 729 is 526338.

2. What are the Factors of 722?

Answer: Factors of 722 are 1, 2, 19, 38, 361, 722. There are 6 integers that are factors of 722. The greatest factor of 722 is 722.

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 722 and 729?

Answer:

Least Common Multiple of 722 and 729 = 526338

Step 1: Find the prime factorization of 722

722 = 2 x 19 x 19

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 = 526338 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 19 x 19

Step 4: Therefore, the least common multiple of 722 and 729 is 526338.