Least Common Multiple of 5731 and 5737

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 5737 the smallest integer that is 32878747 that is divisible by both numbers.

Least Common Multiple (LCM) of 5731 and 5737 is 32878747.

LCM(5731,5737) = 32878747

LCM of 5731 and 5737

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

LCM of:
and

Least Common Multiple of 5731 and 5737

LCM of 5731 and 5737 is 32878747

Least common multiple can be found by multiplying the highest exponent prime factors of 5731 and 5737. First we will calculate the prime factors of 5731 and 5737.

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 5737


5737 5737
1

Prime factors of 5737 are 5737. Prime factorization of 5737 in exponential form is:

5737 = 57371

Now multiplying the highest exponent prime factors to calculate the LCM of 5731 and 5737.

LCM(5731,5737) = 111×5211×57371
LCM(5731,5737) = 32878747

Factors of 5731

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

1, 11, 521, 5731

Factors of 5737

List of positive integer factors of 5737 that divides 5737 without a remainder.

1, 5737

Least Common Multiple of 5731 and 5737 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 5737, than apply into the LCM equation.

GCF(5731,5737) = 1
LCM(5731,5737) = ( 5731 × 5737) / 1
LCM(5731,5737) = 32878747 / 1
LCM(5731,5737) = 32878747

Properties of LCM 5731 and 5737

(i) The LCM of 5737 and 5731 is associative

LCM of 5731 and 5737 = LCM of 5737 and 5731

Related Least Common Multiples of 5731

Related Least Common Multiples of 5737

Frequently Asked Questions on LCM of 5731 and 5737

1. What is the LCM of 5731 and 5737?

Answer: LCM of 5731 and 5737 is 32878747.

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 5737?

Answer: Factors of 5737 are 1, 5737. There are 2 integers that are factors of 5737. The greatest factor of 5737 is 5737.

4. How to Find the LCM of 5731 and 5737?

Answer:

Least Common Multiple of 5731 and 5737 = 32878747

Step 1: Find the prime factorization of 5731

5731 = 11 x 521

Step 2: Find the prime factorization of 5737

5737 = 5737

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

LCM = 32878747 = 11 x 521 x 5737

Step 4: Therefore, the least common multiple of 5731 and 5737 is 32878747.