Least Common Multiple of 729 and 734

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 734 the smallest integer that is 535086 that is divisible by both numbers.

Least Common Multiple (LCM) of 729 and 734 is 535086.

LCM(729,734) = 535086

LCM of 729 and 734

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

LCM of:
and

Least Common Multiple of 729 and 734

LCM of 729 and 734 is 535086

Least common multiple can be found by multiplying the highest exponent prime factors of 729 and 734. First we will calculate the prime factors of 729 and 734.

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 734


2 734
367 367
1

Prime factors of 734 are 2,367. Prime factorization of 734 in exponential form is:

734 = 21×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 729 and 734.

LCM(729,734) = 21×36×3671
LCM(729,734) = 535086

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 734

List of positive integer factors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Least Common Multiple of 729 and 734 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 734, than apply into the LCM equation.

GCF(729,734) = 1
LCM(729,734) = ( 729 × 734) / 1
LCM(729,734) = 535086 / 1
LCM(729,734) = 535086

Properties of LCM 729 and 734

(i) The LCM of 734 and 729 is associative

LCM of 729 and 734 = LCM of 734 and 729

Frequently Asked Questions on LCM of 729 and 734

1. What is the LCM of 729 and 734?

Answer: LCM of 729 and 734 is 535086.

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 734?

Answer: Factors of 734 are 1, 2, 367, 734. There are 4 integers that are factors of 734. The greatest factor of 734 is 734.

4. How to Find the LCM of 729 and 734?

Answer:

Least Common Multiple of 729 and 734 = 535086

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 734

734 = 2 x 367

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

LCM = 535086 = 2 x 3 x 3 x 3 x 3 x 3 x 3 x 367

Step 4: Therefore, the least common multiple of 729 and 734 is 535086.