Least Common Multiple of 728 and 736

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 736 the smallest integer that is 66976 that is divisible by both numbers.

Least Common Multiple (LCM) of 728 and 736 is 66976.

LCM(728,736) = 66976

LCM of 728 and 736

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

LCM of:
and

Least Common Multiple of 728 and 736

LCM of 728 and 736 is 66976

Least common multiple can be found by multiplying the highest exponent prime factors of 728 and 736. First we will calculate the prime factors of 728 and 736.

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 736


2 736
2 368
2 184
2 92
2 46
23 23
1

Prime factors of 736 are 2,23. Prime factorization of 736 in exponential form is:

736 = 25×231

Now multiplying the highest exponent prime factors to calculate the LCM of 728 and 736.

LCM(728,736) = 25×71×131×231
LCM(728,736) = 66976

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 736

List of positive integer factors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Least Common Multiple of 728 and 736 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 736, than apply into the LCM equation.

GCF(728,736) = 8
LCM(728,736) = ( 728 × 736) / 8
LCM(728,736) = 535808 / 8
LCM(728,736) = 66976

Properties of LCM 728 and 736

(i) The LCM of 736 and 728 is associative

LCM of 728 and 736 = LCM of 736 and 728

Related Least Common Multiples of 728

Related Least Common Multiples of 736

Frequently Asked Questions on LCM of 728 and 736

1. What is the LCM of 728 and 736?

Answer: LCM of 728 and 736 is 66976.

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 736?

Answer: Factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736. There are 12 integers that are factors of 736. The greatest factor of 736 is 736.

4. How to Find the LCM of 728 and 736?

Answer:

Least Common Multiple of 728 and 736 = 66976

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 736

736 = 2 x 2 x 2 x 2 x 2 x 23

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

LCM = 66976 = 2 x 2 x 2 x 2 x 2 x 7 x 13 x 23

Step 4: Therefore, the least common multiple of 728 and 736 is 66976.