Least Common Multiple of 9586 and 9590

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9586 and 9590 the smallest integer that is 45964870 that is divisible by both numbers.

Least Common Multiple (LCM) of 9586 and 9590 is 45964870.

LCM(9586,9590) = 45964870

LCM of 9586 and 9590

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

LCM of:
and

Least Common Multiple of 9586 and 9590

LCM of 9586 and 9590 is 45964870

Least common multiple can be found by multiplying the highest exponent prime factors of 9586 and 9590. First we will calculate the prime factors of 9586 and 9590.

Prime Factorization of 9586


2 9586
4793 4793
1

Prime factors of 9586 are 2,4793. Prime factorization of 9586 in exponential form is:

9586 = 21×47931

Prime Factorization of 9590


2 9590
5 4795
7 959
137 137
1

Prime factors of 9590 are 2, 5, 7,137. Prime factorization of 9590 in exponential form is:

9590 = 21×51×71×1371

Now multiplying the highest exponent prime factors to calculate the LCM of 9586 and 9590.

LCM(9586,9590) = 21×51×71×1371×47931
LCM(9586,9590) = 45964870

Factors of 9586

List of positive integer factors of 9586 that divides 9586 without a remainder.

1, 2, 4793, 9586

Factors of 9590

List of positive integer factors of 9590 that divides 9590 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590

Least Common Multiple of 9586 and 9590 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9586 and 9590, than apply into the LCM equation.

GCF(9586,9590) = 2
LCM(9586,9590) = ( 9586 × 9590) / 2
LCM(9586,9590) = 91929740 / 2
LCM(9586,9590) = 45964870

Properties of LCM 9586 and 9590

(i) The LCM of 9590 and 9586 is associative

LCM of 9586 and 9590 = LCM of 9590 and 9586

Related Least Common Multiples of 9586

Related Least Common Multiples of 9590

Frequently Asked Questions on LCM of 9586 and 9590

1. What is the LCM of 9586 and 9590?

Answer: LCM of 9586 and 9590 is 45964870.

2. What are the Factors of 9586?

Answer: Factors of 9586 are 1, 2, 4793, 9586. There are 4 integers that are factors of 9586. The greatest factor of 9586 is 9586.

3. What are the Factors of 9590?

Answer: Factors of 9590 are 1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590. There are 16 integers that are factors of 9590. The greatest factor of 9590 is 9590.

4. How to Find the LCM of 9586 and 9590?

Answer:

Least Common Multiple of 9586 and 9590 = 45964870

Step 1: Find the prime factorization of 9586

9586 = 2 x 4793

Step 2: Find the prime factorization of 9590

9590 = 2 x 5 x 7 x 137

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

LCM = 45964870 = 2 x 5 x 7 x 137 x 4793

Step 4: Therefore, the least common multiple of 9586 and 9590 is 45964870.