Least Common Multiple of 9590 and 9596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9590 and 9596 the smallest integer that is 46012820 that is divisible by both numbers.

Least Common Multiple (LCM) of 9590 and 9596 is 46012820.

LCM(9590,9596) = 46012820

LCM of 9590 and 9596

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

LCM of:
and

Least Common Multiple of 9590 and 9596

LCM of 9590 and 9596 is 46012820

Least common multiple can be found by multiplying the highest exponent prime factors of 9590 and 9596. First we will calculate the prime factors of 9590 and 9596.

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

Prime Factorization of 9596


2 9596
2 4798
2399 2399
1

Prime factors of 9596 are 2,2399. Prime factorization of 9596 in exponential form is:

9596 = 22×23991

Now multiplying the highest exponent prime factors to calculate the LCM of 9590 and 9596.

LCM(9590,9596) = 22×51×71×1371×23991
LCM(9590,9596) = 46012820

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

Factors of 9596

List of positive integer factors of 9596 that divides 9596 without a remainder.

1, 2, 4, 2399, 4798, 9596

Least Common Multiple of 9590 and 9596 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9590 and 9596, than apply into the LCM equation.

GCF(9590,9596) = 2
LCM(9590,9596) = ( 9590 × 9596) / 2
LCM(9590,9596) = 92025640 / 2
LCM(9590,9596) = 46012820

Properties of LCM 9590 and 9596

(i) The LCM of 9596 and 9590 is associative

LCM of 9590 and 9596 = LCM of 9596 and 9590

Related Least Common Multiples of 9590

Related Least Common Multiples of 9596

Frequently Asked Questions on LCM of 9590 and 9596

1. What is the LCM of 9590 and 9596?

Answer: LCM of 9590 and 9596 is 46012820.

2. 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.

3. What are the Factors of 9596?

Answer: Factors of 9596 are 1, 2, 4, 2399, 4798, 9596. There are 6 integers that are factors of 9596. The greatest factor of 9596 is 9596.

4. How to Find the LCM of 9590 and 9596?

Answer:

Least Common Multiple of 9590 and 9596 = 46012820

Step 1: Find the prime factorization of 9590

9590 = 2 x 5 x 7 x 137

Step 2: Find the prime factorization of 9596

9596 = 2 x 2 x 2399

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

LCM = 46012820 = 2 x 2 x 5 x 7 x 137 x 2399

Step 4: Therefore, the least common multiple of 9590 and 9596 is 46012820.