Least Common Multiple of 727 and 728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 727 and 728 the smallest integer that is 529256 that is divisible by both numbers.

Least Common Multiple (LCM) of 727 and 728 is 529256.

LCM(727,728) = 529256

LCM of 727 and 728

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

LCM of:
and

Least Common Multiple of 727 and 728

LCM of 727 and 728 is 529256

Least common multiple can be found by multiplying the highest exponent prime factors of 727 and 728. First we will calculate the prime factors of 727 and 728.

Prime Factorization of 727


727 727
1

Prime factors of 727 are 727. Prime factorization of 727 in exponential form is:

727 = 7271

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

Now multiplying the highest exponent prime factors to calculate the LCM of 727 and 728.

LCM(727,728) = 23×71×131×7271
LCM(727,728) = 529256

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1, 727

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

Least Common Multiple of 727 and 728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 727 and 728, than apply into the LCM equation.

GCF(727,728) = 1
LCM(727,728) = ( 727 × 728) / 1
LCM(727,728) = 529256 / 1
LCM(727,728) = 529256

Properties of LCM 727 and 728

(i) The LCM of 728 and 727 is associative

LCM of 727 and 728 = LCM of 728 and 727

Related Least Common Multiples of 727

Related Least Common Multiples of 728

Frequently Asked Questions on LCM of 727 and 728

1. What is the LCM of 727 and 728?

Answer: LCM of 727 and 728 is 529256.

2. What are the Factors of 727?

Answer: Factors of 727 are 1, 727. There are 2 integers that are factors of 727. The greatest factor of 727 is 727.

3. 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.

4. How to Find the LCM of 727 and 728?

Answer:

Least Common Multiple of 727 and 728 = 529256

Step 1: Find the prime factorization of 727

727 = 727

Step 2: Find the prime factorization of 728

728 = 2 x 2 x 2 x 7 x 13

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

LCM = 529256 = 2 x 2 x 2 x 7 x 13 x 727

Step 4: Therefore, the least common multiple of 727 and 728 is 529256.