Least Common Multiple of 731 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 731 and 736 the smallest integer that is 538016 that is divisible by both numbers.

Least Common Multiple (LCM) of 731 and 736 is 538016.

LCM(731,736) = 538016

LCM of 731 and 736

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

LCM of:
and

Least Common Multiple of 731 and 736

LCM of 731 and 736 is 538016

Least common multiple can be found by multiplying the highest exponent prime factors of 731 and 736. First we will calculate the prime factors of 731 and 736.

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

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 731 and 736.

LCM(731,736) = 25×171×231×431
LCM(731,736) = 538016

Factors of 731

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

1, 17, 43, 731

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 731 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 731 and 736, than apply into the LCM equation.

GCF(731,736) = 1
LCM(731,736) = ( 731 × 736) / 1
LCM(731,736) = 538016 / 1
LCM(731,736) = 538016

Properties of LCM 731 and 736

(i) The LCM of 736 and 731 is associative

LCM of 731 and 736 = LCM of 736 and 731

Frequently Asked Questions on LCM of 731 and 736

1. What is the LCM of 731 and 736?

Answer: LCM of 731 and 736 is 538016.

2. 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.

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 731 and 736?

Answer:

Least Common Multiple of 731 and 736 = 538016

Step 1: Find the prime factorization of 731

731 = 17 x 43

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 = 538016 = 2 x 2 x 2 x 2 x 2 x 17 x 23 x 43

Step 4: Therefore, the least common multiple of 731 and 736 is 538016.