Least Common Multiple of 9557 and 9563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 9557 and 9563 the smallest integer that is 91393591 that is divisible by both numbers.

Least Common Multiple (LCM) of 9557 and 9563 is 91393591.

LCM(9557,9563) = 91393591

LCM of 9557 and 9563

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

LCM of:
and

Least Common Multiple of 9557 and 9563

LCM of 9557 and 9563 is 91393591

Least common multiple can be found by multiplying the highest exponent prime factors of 9557 and 9563. First we will calculate the prime factors of 9557 and 9563.

Prime Factorization of 9557


19 9557
503 503
1

Prime factors of 9557 are 19,503. Prime factorization of 9557 in exponential form is:

9557 = 191×5031

Prime Factorization of 9563


73 9563
131 131
1

Prime factors of 9563 are 73,131. Prime factorization of 9563 in exponential form is:

9563 = 731×1311

Now multiplying the highest exponent prime factors to calculate the LCM of 9557 and 9563.

LCM(9557,9563) = 191×731×1311×5031
LCM(9557,9563) = 91393591

Factors of 9557

List of positive integer factors of 9557 that divides 9557 without a remainder.

1, 19, 503, 9557

Factors of 9563

List of positive integer factors of 9563 that divides 9563 without a remainder.

1, 73, 131, 9563

Least Common Multiple of 9557 and 9563 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9557 and 9563, than apply into the LCM equation.

GCF(9557,9563) = 1
LCM(9557,9563) = ( 9557 × 9563) / 1
LCM(9557,9563) = 91393591 / 1
LCM(9557,9563) = 91393591

Properties of LCM 9557 and 9563

(i) The LCM of 9563 and 9557 is associative

LCM of 9557 and 9563 = LCM of 9563 and 9557

Related Least Common Multiples of 9557

Related Least Common Multiples of 9563

Frequently Asked Questions on LCM of 9557 and 9563

1. What is the LCM of 9557 and 9563?

Answer: LCM of 9557 and 9563 is 91393591.

2. What are the Factors of 9557?

Answer: Factors of 9557 are 1, 19, 503, 9557. There are 4 integers that are factors of 9557. The greatest factor of 9557 is 9557.

3. What are the Factors of 9563?

Answer: Factors of 9563 are 1, 73, 131, 9563. There are 4 integers that are factors of 9563. The greatest factor of 9563 is 9563.

4. How to Find the LCM of 9557 and 9563?

Answer:

Least Common Multiple of 9557 and 9563 = 91393591

Step 1: Find the prime factorization of 9557

9557 = 19 x 503

Step 2: Find the prime factorization of 9563

9563 = 73 x 131

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

LCM = 91393591 = 19 x 73 x 131 x 503

Step 4: Therefore, the least common multiple of 9557 and 9563 is 91393591.