Least Common Multiple of 5731 and 5739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5731 and 5739 the smallest integer that is 32890209 that is divisible by both numbers.

Least Common Multiple (LCM) of 5731 and 5739 is 32890209.

LCM(5731,5739) = 32890209

LCM of 5731 and 5739

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

LCM of:
and

Least Common Multiple of 5731 and 5739

LCM of 5731 and 5739 is 32890209

Least common multiple can be found by multiplying the highest exponent prime factors of 5731 and 5739. First we will calculate the prime factors of 5731 and 5739.

Prime Factorization of 5731


11 5731
521 521
1

Prime factors of 5731 are 11,521. Prime factorization of 5731 in exponential form is:

5731 = 111×5211

Prime Factorization of 5739


3 5739
1913 1913
1

Prime factors of 5739 are 3,1913. Prime factorization of 5739 in exponential form is:

5739 = 31×19131

Now multiplying the highest exponent prime factors to calculate the LCM of 5731 and 5739.

LCM(5731,5739) = 31×111×5211×19131
LCM(5731,5739) = 32890209

Factors of 5731

List of positive integer factors of 5731 that divides 5731 without a remainder.

1, 11, 521, 5731

Factors of 5739

List of positive integer factors of 5739 that divides 5739 without a remainder.

1, 3, 1913, 5739

Least Common Multiple of 5731 and 5739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5731 and 5739, than apply into the LCM equation.

GCF(5731,5739) = 1
LCM(5731,5739) = ( 5731 × 5739) / 1
LCM(5731,5739) = 32890209 / 1
LCM(5731,5739) = 32890209

Properties of LCM 5731 and 5739

(i) The LCM of 5739 and 5731 is associative

LCM of 5731 and 5739 = LCM of 5739 and 5731

Related Least Common Multiples of 5731

Related Least Common Multiples of 5739

Frequently Asked Questions on LCM of 5731 and 5739

1. What is the LCM of 5731 and 5739?

Answer: LCM of 5731 and 5739 is 32890209.

2. What are the Factors of 5731?

Answer: Factors of 5731 are 1, 11, 521, 5731. There are 4 integers that are factors of 5731. The greatest factor of 5731 is 5731.

3. What are the Factors of 5739?

Answer: Factors of 5739 are 1, 3, 1913, 5739. There are 4 integers that are factors of 5739. The greatest factor of 5739 is 5739.

4. How to Find the LCM of 5731 and 5739?

Answer:

Least Common Multiple of 5731 and 5739 = 32890209

Step 1: Find the prime factorization of 5731

5731 = 11 x 521

Step 2: Find the prime factorization of 5739

5739 = 3 x 1913

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

LCM = 32890209 = 3 x 11 x 521 x 1913

Step 4: Therefore, the least common multiple of 5731 and 5739 is 32890209.