Least Common Multiple of 9555 and 9560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9555 and 9560 the smallest integer that is 18269160 that is divisible by both numbers.

Least Common Multiple (LCM) of 9555 and 9560 is 18269160.

LCM(9555,9560) = 18269160

LCM of 9555 and 9560

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

LCM of:
and

Least Common Multiple of 9555 and 9560

LCM of 9555 and 9560 is 18269160

Least common multiple can be found by multiplying the highest exponent prime factors of 9555 and 9560. First we will calculate the prime factors of 9555 and 9560.

Prime Factorization of 9555


3 9555
5 3185
7 637
7 91
13 13
1

Prime factors of 9555 are 3, 5, 7,13. Prime factorization of 9555 in exponential form is:

9555 = 31×51×72×131

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

Now multiplying the highest exponent prime factors to calculate the LCM of 9555 and 9560.

LCM(9555,9560) = 23×31×51×72×131×2391
LCM(9555,9560) = 18269160

Factors of 9555

List of positive integer factors of 9555 that divides 9555 without a remainder.

1, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 455, 637, 735, 1365, 1911, 3185, 9555

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

Least Common Multiple of 9555 and 9560 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9555 and 9560, than apply into the LCM equation.

GCF(9555,9560) = 5
LCM(9555,9560) = ( 9555 × 9560) / 5
LCM(9555,9560) = 91345800 / 5
LCM(9555,9560) = 18269160

Properties of LCM 9555 and 9560

(i) The LCM of 9560 and 9555 is associative

LCM of 9555 and 9560 = LCM of 9560 and 9555

Related Least Common Multiples of 9555

Related Least Common Multiples of 9560

Frequently Asked Questions on LCM of 9555 and 9560

1. What is the LCM of 9555 and 9560?

Answer: LCM of 9555 and 9560 is 18269160.

2. What are the Factors of 9555?

Answer: Factors of 9555 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 455, 637, 735, 1365, 1911, 3185, 9555. There are 24 integers that are factors of 9555. The greatest factor of 9555 is 9555.

3. 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.

4. How to Find the LCM of 9555 and 9560?

Answer:

Least Common Multiple of 9555 and 9560 = 18269160

Step 1: Find the prime factorization of 9555

9555 = 3 x 5 x 7 x 7 x 13

Step 2: Find the prime factorization of 9560

9560 = 2 x 2 x 2 x 5 x 239

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

LCM = 18269160 = 2 x 2 x 2 x 3 x 5 x 7 x 7 x 13 x 239

Step 4: Therefore, the least common multiple of 9555 and 9560 is 18269160.