Least Common Multiple of 728 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 728 and 734 the smallest integer that is 267176 that is divisible by both numbers.

Least Common Multiple (LCM) of 728 and 734 is 267176.

LCM(728,734) = 267176

LCM of 728 and 734

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

LCM of:
and

Least Common Multiple of 728 and 734

LCM of 728 and 734 is 267176

Least common multiple can be found by multiplying the highest exponent prime factors of 728 and 734. First we will calculate the prime factors of 728 and 734.

Prime Factorization of 728


2 728
2 364
2 182
7 91
13 13
1

Prime factors of 728 are 2, 7,13. Prime factorization of 728 in exponential form is:

728 = 23×71×131

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 728 and 734.

LCM(728,734) = 23×71×131×3671
LCM(728,734) = 267176

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Factors of 734

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

1, 2, 367, 734

Least Common Multiple of 728 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 728 and 734, than apply into the LCM equation.

GCF(728,734) = 2
LCM(728,734) = ( 728 × 734) / 2
LCM(728,734) = 534352 / 2
LCM(728,734) = 267176

Properties of LCM 728 and 734

(i) The LCM of 734 and 728 is associative

LCM of 728 and 734 = LCM of 734 and 728

Related Least Common Multiples of 728

Related Least Common Multiples of 734

Frequently Asked Questions on LCM of 728 and 734

1. What is the LCM of 728 and 734?

Answer: LCM of 728 and 734 is 267176.

2. What are the Factors of 728?

Answer: Factors of 728 are 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728. There are 16 integers that are factors of 728. The greatest factor of 728 is 728.

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 728 and 734?

Answer:

Least Common Multiple of 728 and 734 = 267176

Step 1: Find the prime factorization of 728

728 = 2 x 2 x 2 x 7 x 13

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 = 267176 = 2 x 2 x 2 x 7 x 13 x 367

Step 4: Therefore, the least common multiple of 728 and 734 is 267176.