Least Common Multiple of 5723 and 5730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 5723 and 5730 the smallest integer that is 32792790 that is divisible by both numbers.

Least Common Multiple (LCM) of 5723 and 5730 is 32792790.

LCM(5723,5730) = 32792790

LCM of 5723 and 5730

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

LCM of:
and

Least Common Multiple of 5723 and 5730

LCM of 5723 and 5730 is 32792790

Least common multiple can be found by multiplying the highest exponent prime factors of 5723 and 5730. First we will calculate the prime factors of 5723 and 5730.

Prime Factorization of 5723


59 5723
97 97
1

Prime factors of 5723 are 59,97. Prime factorization of 5723 in exponential form is:

5723 = 591×971

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

Now multiplying the highest exponent prime factors to calculate the LCM of 5723 and 5730.

LCM(5723,5730) = 21×31×51×591×971×1911
LCM(5723,5730) = 32792790

Factors of 5723

List of positive integer factors of 5723 that divides 5723 without a remainder.

1, 59, 97, 5723

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

Least Common Multiple of 5723 and 5730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5723 and 5730, than apply into the LCM equation.

GCF(5723,5730) = 1
LCM(5723,5730) = ( 5723 × 5730) / 1
LCM(5723,5730) = 32792790 / 1
LCM(5723,5730) = 32792790

Properties of LCM 5723 and 5730

(i) The LCM of 5730 and 5723 is associative

LCM of 5723 and 5730 = LCM of 5730 and 5723

Related Least Common Multiples of 5723

Related Least Common Multiples of 5730

Frequently Asked Questions on LCM of 5723 and 5730

1. What is the LCM of 5723 and 5730?

Answer: LCM of 5723 and 5730 is 32792790.

2. What are the Factors of 5723?

Answer: Factors of 5723 are 1, 59, 97, 5723. There are 4 integers that are factors of 5723. The greatest factor of 5723 is 5723.

3. 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.

4. How to Find the LCM of 5723 and 5730?

Answer:

Least Common Multiple of 5723 and 5730 = 32792790

Step 1: Find the prime factorization of 5723

5723 = 59 x 97

Step 2: Find the prime factorization of 5730

5730 = 2 x 3 x 5 x 191

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

LCM = 32792790 = 2 x 3 x 5 x 59 x 97 x 191

Step 4: Therefore, the least common multiple of 5723 and 5730 is 32792790.