Least Common Multiple of 724 and 731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 724 and 731 the smallest integer that is 529244 that is divisible by both numbers.

Least Common Multiple (LCM) of 724 and 731 is 529244.

LCM(724,731) = 529244

LCM of 724 and 731

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

LCM of:
and

Least Common Multiple of 724 and 731

LCM of 724 and 731 is 529244

Least common multiple can be found by multiplying the highest exponent prime factors of 724 and 731. First we will calculate the prime factors of 724 and 731.

Prime Factorization of 724


2 724
2 362
181 181
1

Prime factors of 724 are 2,181. Prime factorization of 724 in exponential form is:

724 = 22×1811

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

Now multiplying the highest exponent prime factors to calculate the LCM of 724 and 731.

LCM(724,731) = 22×171×431×1811
LCM(724,731) = 529244

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1, 2, 4, 181, 362, 724

Factors of 731

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

1, 17, 43, 731

Least Common Multiple of 724 and 731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 724 and 731, than apply into the LCM equation.

GCF(724,731) = 1
LCM(724,731) = ( 724 × 731) / 1
LCM(724,731) = 529244 / 1
LCM(724,731) = 529244

Properties of LCM 724 and 731

(i) The LCM of 731 and 724 is associative

LCM of 724 and 731 = LCM of 731 and 724

Related Least Common Multiples of 724

Related Least Common Multiples of 731

Frequently Asked Questions on LCM of 724 and 731

1. What is the LCM of 724 and 731?

Answer: LCM of 724 and 731 is 529244.

2. What are the Factors of 724?

Answer: Factors of 724 are 1, 2, 4, 181, 362, 724. There are 6 integers that are factors of 724. The greatest factor of 724 is 724.

3. 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.

4. How to Find the LCM of 724 and 731?

Answer:

Least Common Multiple of 724 and 731 = 529244

Step 1: Find the prime factorization of 724

724 = 2 x 2 x 181

Step 2: Find the prime factorization of 731

731 = 17 x 43

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

LCM = 529244 = 2 x 2 x 17 x 43 x 181

Step 4: Therefore, the least common multiple of 724 and 731 is 529244.