Least Common Multiple of 728 and 731

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 731 the smallest integer that is 532168 that is divisible by both numbers.

Least Common Multiple (LCM) of 728 and 731 is 532168.

LCM(728,731) = 532168

LCM of 728 and 731

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

LCM of:
and

Least Common Multiple of 728 and 731

LCM of 728 and 731 is 532168

Least common multiple can be found by multiplying the highest exponent prime factors of 728 and 731. First we will calculate the prime factors of 728 and 731.

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 731


17 731
43 43
1

Prime factors of 731 are 17,43. Prime factorization of 731 in exponential form is:

731 = 171×431

Now multiplying the highest exponent prime factors to calculate the LCM of 728 and 731.

LCM(728,731) = 23×71×131×171×431
LCM(728,731) = 532168

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 731

List of positive integer factors of 731 that divides 731 without a remainder.

1, 17, 43, 731

Least Common Multiple of 728 and 731 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 731, than apply into the LCM equation.

GCF(728,731) = 1
LCM(728,731) = ( 728 × 731) / 1
LCM(728,731) = 532168 / 1
LCM(728,731) = 532168

Properties of LCM 728 and 731

(i) The LCM of 731 and 728 is associative

LCM of 728 and 731 = LCM of 731 and 728

Related Least Common Multiples of 728

Related Least Common Multiples of 731

Frequently Asked Questions on LCM of 728 and 731

1. What is the LCM of 728 and 731?

Answer: LCM of 728 and 731 is 532168.

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 731?

Answer: Factors of 731 are 1, 17, 43, 731. There are 4 integers that are factors of 731. The greatest factor of 731 is 731.

4. How to Find the LCM of 728 and 731?

Answer:

Least Common Multiple of 728 and 731 = 532168

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 731

731 = 17 x 43

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

LCM = 532168 = 2 x 2 x 2 x 7 x 13 x 17 x 43

Step 4: Therefore, the least common multiple of 728 and 731 is 532168.