Least Common Multiple of 731 and 734

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 734 the smallest integer that is 536554 that is divisible by both numbers.

Least Common Multiple (LCM) of 731 and 734 is 536554.

LCM(731,734) = 536554

LCM of 731 and 734

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

LCM of:
and

Least Common Multiple of 731 and 734

LCM of 731 and 734 is 536554

Least common multiple can be found by multiplying the highest exponent prime factors of 731 and 734. First we will calculate the prime factors of 731 and 734.

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 734


2 734
367 367
1

Prime factors of 734 are 2,367. Prime factorization of 734 in exponential form is:

734 = 21×3671

Now multiplying the highest exponent prime factors to calculate the LCM of 731 and 734.

LCM(731,734) = 21×171×431×3671
LCM(731,734) = 536554

Factors of 731

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

1, 17, 43, 731

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Least Common Multiple of 731 and 734 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 734, than apply into the LCM equation.

GCF(731,734) = 1
LCM(731,734) = ( 731 × 734) / 1
LCM(731,734) = 536554 / 1
LCM(731,734) = 536554

Properties of LCM 731 and 734

(i) The LCM of 734 and 731 is associative

LCM of 731 and 734 = LCM of 734 and 731

Related Least Common Multiples of 731

Related Least Common Multiples of 734

Frequently Asked Questions on LCM of 731 and 734

1. What is the LCM of 731 and 734?

Answer: LCM of 731 and 734 is 536554.

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 734?

Answer: Factors of 734 are 1, 2, 367, 734. There are 4 integers that are factors of 734. The greatest factor of 734 is 734.

4. How to Find the LCM of 731 and 734?

Answer:

Least Common Multiple of 731 and 734 = 536554

Step 1: Find the prime factorization of 731

731 = 17 x 43

Step 2: Find the prime factorization of 734

734 = 2 x 367

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

LCM = 536554 = 2 x 17 x 43 x 367

Step 4: Therefore, the least common multiple of 731 and 734 is 536554.