Least Common Multiple of 728 and 732

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 732 the smallest integer that is 133224 that is divisible by both numbers.

Least Common Multiple (LCM) of 728 and 732 is 133224.

LCM(728,732) = 133224

LCM of 728 and 732

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

LCM of:
and

Least Common Multiple of 728 and 732

LCM of 728 and 732 is 133224

Least common multiple can be found by multiplying the highest exponent prime factors of 728 and 732. First we will calculate the prime factors of 728 and 732.

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 732


2 732
2 366
3 183
61 61
1

Prime factors of 732 are 2, 3,61. Prime factorization of 732 in exponential form is:

732 = 22×31×611

Now multiplying the highest exponent prime factors to calculate the LCM of 728 and 732.

LCM(728,732) = 23×31×71×131×611
LCM(728,732) = 133224

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 732

List of positive integer factors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Least Common Multiple of 728 and 732 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 732, than apply into the LCM equation.

GCF(728,732) = 4
LCM(728,732) = ( 728 × 732) / 4
LCM(728,732) = 532896 / 4
LCM(728,732) = 133224

Properties of LCM 728 and 732

(i) The LCM of 732 and 728 is associative

LCM of 728 and 732 = LCM of 732 and 728

Related Least Common Multiples of 728

Related Least Common Multiples of 732

Frequently Asked Questions on LCM of 728 and 732

1. What is the LCM of 728 and 732?

Answer: LCM of 728 and 732 is 133224.

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 732?

Answer: Factors of 732 are 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732. There are 12 integers that are factors of 732. The greatest factor of 732 is 732.

4. How to Find the LCM of 728 and 732?

Answer:

Least Common Multiple of 728 and 732 = 133224

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 732

732 = 2 x 2 x 3 x 61

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

LCM = 133224 = 2 x 2 x 2 x 3 x 7 x 13 x 61

Step 4: Therefore, the least common multiple of 728 and 732 is 133224.