Least Common Multiple of 9555 and 9562

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 9562 the smallest integer that is 13052130 that is divisible by both numbers.

Least Common Multiple (LCM) of 9555 and 9562 is 13052130.

LCM(9555,9562) = 13052130

LCM of 9555 and 9562

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

LCM of:
and

Least Common Multiple of 9555 and 9562

LCM of 9555 and 9562 is 13052130

Least common multiple can be found by multiplying the highest exponent prime factors of 9555 and 9562. First we will calculate the prime factors of 9555 and 9562.

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 9562


2 9562
7 4781
683 683
1

Prime factors of 9562 are 2, 7,683. Prime factorization of 9562 in exponential form is:

9562 = 21×71×6831

Now multiplying the highest exponent prime factors to calculate the LCM of 9555 and 9562.

LCM(9555,9562) = 21×31×51×72×131×6831
LCM(9555,9562) = 13052130

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 9562

List of positive integer factors of 9562 that divides 9562 without a remainder.

1, 2, 7, 14, 683, 1366, 4781, 9562

Least Common Multiple of 9555 and 9562 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 9562, than apply into the LCM equation.

GCF(9555,9562) = 7
LCM(9555,9562) = ( 9555 × 9562) / 7
LCM(9555,9562) = 91364910 / 7
LCM(9555,9562) = 13052130

Properties of LCM 9555 and 9562

(i) The LCM of 9562 and 9555 is associative

LCM of 9555 and 9562 = LCM of 9562 and 9555

Related Least Common Multiples of 9555

Related Least Common Multiples of 9562

Frequently Asked Questions on LCM of 9555 and 9562

1. What is the LCM of 9555 and 9562?

Answer: LCM of 9555 and 9562 is 13052130.

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 9562?

Answer: Factors of 9562 are 1, 2, 7, 14, 683, 1366, 4781, 9562. There are 8 integers that are factors of 9562. The greatest factor of 9562 is 9562.

4. How to Find the LCM of 9555 and 9562?

Answer:

Least Common Multiple of 9555 and 9562 = 13052130

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 9562

9562 = 2 x 7 x 683

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

LCM = 13052130 = 2 x 3 x 5 x 7 x 7 x 13 x 683

Step 4: Therefore, the least common multiple of 9555 and 9562 is 13052130.