Least Common Multiple of 721 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 721 and 728 the smallest integer that is 74984 that is divisible by both numbers.

Least Common Multiple (LCM) of 721 and 728 is 74984.

LCM(721,728) = 74984

LCM of 721 and 728

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

LCM of:
and

Least Common Multiple of 721 and 728

LCM of 721 and 728 is 74984

Least common multiple can be found by multiplying the highest exponent prime factors of 721 and 728. First we will calculate the prime factors of 721 and 728.

Prime Factorization of 721


7 721
103 103
1

Prime factors of 721 are 7,103. Prime factorization of 721 in exponential form is:

721 = 71×1031

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 721 and 728.

LCM(721,728) = 23×71×131×1031
LCM(721,728) = 74984

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1, 7, 103, 721

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 721 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 721 and 728, than apply into the LCM equation.

GCF(721,728) = 7
LCM(721,728) = ( 721 × 728) / 7
LCM(721,728) = 524888 / 7
LCM(721,728) = 74984

Properties of LCM 721 and 728

(i) The LCM of 728 and 721 is associative

LCM of 721 and 728 = LCM of 728 and 721

Related Least Common Multiples of 721

Related Least Common Multiples of 728

Frequently Asked Questions on LCM of 721 and 728

1. What is the LCM of 721 and 728?

Answer: LCM of 721 and 728 is 74984.

2. What are the Factors of 721?

Answer: Factors of 721 are 1, 7, 103, 721. There are 4 integers that are factors of 721. The greatest factor of 721 is 721.

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 721 and 728?

Answer:

Least Common Multiple of 721 and 728 = 74984

Step 1: Find the prime factorization of 721

721 = 7 x 103

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 = 74984 = 2 x 2 x 2 x 7 x 13 x 103

Step 4: Therefore, the least common multiple of 721 and 728 is 74984.