Least Common Multiple of 5730 and 5731

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5730 and 5731 the smallest integer that is 32838630 that is divisible by both numbers.

Least Common Multiple (LCM) of 5730 and 5731 is 32838630.

LCM(5730,5731) = 32838630

LCM of 5730 and 5731

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

LCM of:
and

Least Common Multiple of 5730 and 5731

LCM of 5730 and 5731 is 32838630

Least common multiple can be found by multiplying the highest exponent prime factors of 5730 and 5731. First we will calculate the prime factors of 5730 and 5731.

Prime Factorization of 5730


2 5730
3 2865
5 955
191 191
1

Prime factors of 5730 are 2, 3, 5,191. Prime factorization of 5730 in exponential form is:

5730 = 21×31×51×1911

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5730 and 5731.

LCM(5730,5731) = 21×31×51×111×1911×5211
LCM(5730,5731) = 32838630

Factors of 5730

List of positive integer factors of 5730 that divides 5730 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 191, 382, 573, 955, 1146, 1910, 2865, 5730

Factors of 5731

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

1, 11, 521, 5731

Least Common Multiple of 5730 and 5731 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5730 and 5731, than apply into the LCM equation.

GCF(5730,5731) = 1
LCM(5730,5731) = ( 5730 × 5731) / 1
LCM(5730,5731) = 32838630 / 1
LCM(5730,5731) = 32838630

Properties of LCM 5730 and 5731

(i) The LCM of 5731 and 5730 is associative

LCM of 5730 and 5731 = LCM of 5731 and 5730

Related Least Common Multiples of 5730

Related Least Common Multiples of 5731

Frequently Asked Questions on LCM of 5730 and 5731

1. What is the LCM of 5730 and 5731?

Answer: LCM of 5730 and 5731 is 32838630.

2. What are the Factors of 5730?

Answer: Factors of 5730 are 1, 2, 3, 5, 6, 10, 15, 30, 191, 382, 573, 955, 1146, 1910, 2865, 5730. There are 16 integers that are factors of 5730. The greatest factor of 5730 is 5730.

3. 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.

4. How to Find the LCM of 5730 and 5731?

Answer:

Least Common Multiple of 5730 and 5731 = 32838630

Step 1: Find the prime factorization of 5730

5730 = 2 x 3 x 5 x 191

Step 2: Find the prime factorization of 5731

5731 = 11 x 521

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

LCM = 32838630 = 2 x 3 x 5 x 11 x 191 x 521

Step 4: Therefore, the least common multiple of 5730 and 5731 is 32838630.