Least Common Multiple of 9590 and 9595

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 9595 the smallest integer that is 18403210 that is divisible by both numbers.

Least Common Multiple (LCM) of 9590 and 9595 is 18403210.

LCM(9590,9595) = 18403210

LCM of 9590 and 9595

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

LCM of:
and

Least Common Multiple of 9590 and 9595

LCM of 9590 and 9595 is 18403210

Least common multiple can be found by multiplying the highest exponent prime factors of 9590 and 9595. First we will calculate the prime factors of 9590 and 9595.

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 9595


5 9595
19 1919
101 101
1

Prime factors of 9595 are 5, 19,101. Prime factorization of 9595 in exponential form is:

9595 = 51×191×1011

Now multiplying the highest exponent prime factors to calculate the LCM of 9590 and 9595.

LCM(9590,9595) = 21×51×71×191×1011×1371
LCM(9590,9595) = 18403210

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 9595

List of positive integer factors of 9595 that divides 9595 without a remainder.

1, 5, 19, 95, 101, 505, 1919, 9595

Least Common Multiple of 9590 and 9595 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 9595, than apply into the LCM equation.

GCF(9590,9595) = 5
LCM(9590,9595) = ( 9590 × 9595) / 5
LCM(9590,9595) = 92016050 / 5
LCM(9590,9595) = 18403210

Properties of LCM 9590 and 9595

(i) The LCM of 9595 and 9590 is associative

LCM of 9590 and 9595 = LCM of 9595 and 9590

Related Least Common Multiples of 9590

Related Least Common Multiples of 9595

Frequently Asked Questions on LCM of 9590 and 9595

1. What is the LCM of 9590 and 9595?

Answer: LCM of 9590 and 9595 is 18403210.

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 9595?

Answer: Factors of 9595 are 1, 5, 19, 95, 101, 505, 1919, 9595. There are 8 integers that are factors of 9595. The greatest factor of 9595 is 9595.

4. How to Find the LCM of 9590 and 9595?

Answer:

Least Common Multiple of 9590 and 9595 = 18403210

Step 1: Find the prime factorization of 9590

9590 = 2 x 5 x 7 x 137

Step 2: Find the prime factorization of 9595

9595 = 5 x 19 x 101

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

LCM = 18403210 = 2 x 5 x 7 x 19 x 101 x 137

Step 4: Therefore, the least common multiple of 9590 and 9595 is 18403210.