Least Common Multiple of 5726 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 5726 and 5730 the smallest integer that is 16404990 that is divisible by both numbers.

Least Common Multiple (LCM) of 5726 and 5730 is 16404990.

LCM(5726,5730) = 16404990

LCM of 5726 and 5730

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

LCM of:
and

Least Common Multiple of 5726 and 5730

LCM of 5726 and 5730 is 16404990

Least common multiple can be found by multiplying the highest exponent prime factors of 5726 and 5730. First we will calculate the prime factors of 5726 and 5730.

Prime Factorization of 5726


2 5726
7 2863
409 409
1

Prime factors of 5726 are 2, 7,409. Prime factorization of 5726 in exponential form is:

5726 = 21×71×4091

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 5726 and 5730.

LCM(5726,5730) = 21×31×51×71×1911×4091
LCM(5726,5730) = 16404990

Factors of 5726

List of positive integer factors of 5726 that divides 5726 without a remainder.

1, 2, 7, 14, 409, 818, 2863, 5726

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 5726 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 5726 and 5730, than apply into the LCM equation.

GCF(5726,5730) = 2
LCM(5726,5730) = ( 5726 × 5730) / 2
LCM(5726,5730) = 32809980 / 2
LCM(5726,5730) = 16404990

Properties of LCM 5726 and 5730

(i) The LCM of 5730 and 5726 is associative

LCM of 5726 and 5730 = LCM of 5730 and 5726

Related Least Common Multiples of 5726

Related Least Common Multiples of 5730

Frequently Asked Questions on LCM of 5726 and 5730

1. What is the LCM of 5726 and 5730?

Answer: LCM of 5726 and 5730 is 16404990.

2. What are the Factors of 5726?

Answer: Factors of 5726 are 1, 2, 7, 14, 409, 818, 2863, 5726. There are 8 integers that are factors of 5726. The greatest factor of 5726 is 5726.

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 5726 and 5730?

Answer:

Least Common Multiple of 5726 and 5730 = 16404990

Step 1: Find the prime factorization of 5726

5726 = 2 x 7 x 409

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 = 16404990 = 2 x 3 x 5 x 7 x 191 x 409

Step 4: Therefore, the least common multiple of 5726 and 5730 is 16404990.