Least Common Multiple of 9560 and 9565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9560 and 9565 the smallest integer that is 18288280 that is divisible by both numbers.

Least Common Multiple (LCM) of 9560 and 9565 is 18288280.

LCM(9560,9565) = 18288280

LCM of 9560 and 9565

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

LCM of:
and

Least Common Multiple of 9560 and 9565

LCM of 9560 and 9565 is 18288280

Least common multiple can be found by multiplying the highest exponent prime factors of 9560 and 9565. First we will calculate the prime factors of 9560 and 9565.

Prime Factorization of 9560


2 9560
2 4780
2 2390
5 1195
239 239
1

Prime factors of 9560 are 2, 5,239. Prime factorization of 9560 in exponential form is:

9560 = 23×51×2391

Prime Factorization of 9565


5 9565
1913 1913
1

Prime factors of 9565 are 5,1913. Prime factorization of 9565 in exponential form is:

9565 = 51×19131

Now multiplying the highest exponent prime factors to calculate the LCM of 9560 and 9565.

LCM(9560,9565) = 23×51×2391×19131
LCM(9560,9565) = 18288280

Factors of 9560

List of positive integer factors of 9560 that divides 9560 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 239, 478, 956, 1195, 1912, 2390, 4780, 9560

Factors of 9565

List of positive integer factors of 9565 that divides 9565 without a remainder.

1, 5, 1913, 9565

Least Common Multiple of 9560 and 9565 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9560 and 9565, than apply into the LCM equation.

GCF(9560,9565) = 5
LCM(9560,9565) = ( 9560 × 9565) / 5
LCM(9560,9565) = 91441400 / 5
LCM(9560,9565) = 18288280

Properties of LCM 9560 and 9565

(i) The LCM of 9565 and 9560 is associative

LCM of 9560 and 9565 = LCM of 9565 and 9560

Related Least Common Multiples of 9560

Related Least Common Multiples of 9565

Frequently Asked Questions on LCM of 9560 and 9565

1. What is the LCM of 9560 and 9565?

Answer: LCM of 9560 and 9565 is 18288280.

2. What are the Factors of 9560?

Answer: Factors of 9560 are 1, 2, 4, 5, 8, 10, 20, 40, 239, 478, 956, 1195, 1912, 2390, 4780, 9560. There are 16 integers that are factors of 9560. The greatest factor of 9560 is 9560.

3. What are the Factors of 9565?

Answer: Factors of 9565 are 1, 5, 1913, 9565. There are 4 integers that are factors of 9565. The greatest factor of 9565 is 9565.

4. How to Find the LCM of 9560 and 9565?

Answer:

Least Common Multiple of 9560 and 9565 = 18288280

Step 1: Find the prime factorization of 9560

9560 = 2 x 2 x 2 x 5 x 239

Step 2: Find the prime factorization of 9565

9565 = 5 x 1913

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

LCM = 18288280 = 2 x 2 x 2 x 5 x 239 x 1913

Step 4: Therefore, the least common multiple of 9560 and 9565 is 18288280.