Least Common Multiple of 5730 and 5735

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 5735 the smallest integer that is 6572310 that is divisible by both numbers.

Least Common Multiple (LCM) of 5730 and 5735 is 6572310.

LCM(5730,5735) = 6572310

LCM of 5730 and 5735

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

LCM of:
and

Least Common Multiple of 5730 and 5735

LCM of 5730 and 5735 is 6572310

Least common multiple can be found by multiplying the highest exponent prime factors of 5730 and 5735. First we will calculate the prime factors of 5730 and 5735.

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 5735


5 5735
31 1147
37 37
1

Prime factors of 5735 are 5, 31,37. Prime factorization of 5735 in exponential form is:

5735 = 51×311×371

Now multiplying the highest exponent prime factors to calculate the LCM of 5730 and 5735.

LCM(5730,5735) = 21×31×51×311×371×1911
LCM(5730,5735) = 6572310

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 5735

List of positive integer factors of 5735 that divides 5735 without a remainder.

1, 5, 31, 37, 155, 185, 1147, 5735

Least Common Multiple of 5730 and 5735 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 5735, than apply into the LCM equation.

GCF(5730,5735) = 5
LCM(5730,5735) = ( 5730 × 5735) / 5
LCM(5730,5735) = 32861550 / 5
LCM(5730,5735) = 6572310

Properties of LCM 5730 and 5735

(i) The LCM of 5735 and 5730 is associative

LCM of 5730 and 5735 = LCM of 5735 and 5730

Related Least Common Multiples of 5730

Related Least Common Multiples of 5735

Frequently Asked Questions on LCM of 5730 and 5735

1. What is the LCM of 5730 and 5735?

Answer: LCM of 5730 and 5735 is 6572310.

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 5735?

Answer: Factors of 5735 are 1, 5, 31, 37, 155, 185, 1147, 5735. There are 8 integers that are factors of 5735. The greatest factor of 5735 is 5735.

4. How to Find the LCM of 5730 and 5735?

Answer:

Least Common Multiple of 5730 and 5735 = 6572310

Step 1: Find the prime factorization of 5730

5730 = 2 x 3 x 5 x 191

Step 2: Find the prime factorization of 5735

5735 = 5 x 31 x 37

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

LCM = 6572310 = 2 x 3 x 5 x 31 x 37 x 191

Step 4: Therefore, the least common multiple of 5730 and 5735 is 6572310.