Least Common Multiple of 731 and 738

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 738 the smallest integer that is 539478 that is divisible by both numbers.

Least Common Multiple (LCM) of 731 and 738 is 539478.

LCM(731,738) = 539478

LCM of 731 and 738

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

LCM of:
and

Least Common Multiple of 731 and 738

LCM of 731 and 738 is 539478

Least common multiple can be found by multiplying the highest exponent prime factors of 731 and 738. First we will calculate the prime factors of 731 and 738.

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 738


2 738
3 369
3 123
41 41
1

Prime factors of 738 are 2, 3,41. Prime factorization of 738 in exponential form is:

738 = 21×32×411

Now multiplying the highest exponent prime factors to calculate the LCM of 731 and 738.

LCM(731,738) = 21×32×171×411×431
LCM(731,738) = 539478

Factors of 731

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

1, 17, 43, 731

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Least Common Multiple of 731 and 738 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 738, than apply into the LCM equation.

GCF(731,738) = 1
LCM(731,738) = ( 731 × 738) / 1
LCM(731,738) = 539478 / 1
LCM(731,738) = 539478

Properties of LCM 731 and 738

(i) The LCM of 738 and 731 is associative

LCM of 731 and 738 = LCM of 738 and 731

Related Least Common Multiples of 731

Related Least Common Multiples of 738

Frequently Asked Questions on LCM of 731 and 738

1. What is the LCM of 731 and 738?

Answer: LCM of 731 and 738 is 539478.

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 738?

Answer: Factors of 738 are 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738. There are 12 integers that are factors of 738. The greatest factor of 738 is 738.

4. How to Find the LCM of 731 and 738?

Answer:

Least Common Multiple of 731 and 738 = 539478

Step 1: Find the prime factorization of 731

731 = 17 x 43

Step 2: Find the prime factorization of 738

738 = 2 x 3 x 3 x 41

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

LCM = 539478 = 2 x 3 x 3 x 17 x 41 x 43

Step 4: Therefore, the least common multiple of 731 and 738 is 539478.